8,760
8760 is the number of hours in a common (365-day) year: 365 × 24.
- Even
- Composite
Where 8,760 fits
Why 8,760 is special
8760 is the denominator behind a great deal of infrastructure arithmetic. Energy is priced and metered per hour, so annual consumption divides by 8,760; availability targets are quoted against it, which is why 99.9% uptime means about 8.8 hours of outage a year. A leap year has 8,784.
Same number, different meanings
How 8,760 is understood across different contexts — never implying one meaning because of another.
- Mathematics
8760 is the denominator behind a great deal of infrastructure arithmetic. Energy is priced and metered per hour, so annual consumption divides by 8,760; availability targets are quoted against it, which is why 99.9% uptime means about 8.8 hours of outage a year. A leap year has 8,784.
- Technology & computing
Availability targets are quoted against the 8,760 hours in a year, which is why the familiar figures translate as they do: 99% allows about 88 hours of downtime a year, 99.9% about 8.8 hours, and 99.99% about 53 minutes. Each additional nine costs an order of magnitude more engineering for an order of magnitude less outage.
- Finance & economics
Energy system planning is done in '8760 models' — one row for every hour of a year — because electricity demand and renewable output both vary by hour of day and by season, and an annual total conceals the mismatch entirely. A wind farm and a demand curve that balance over a year can fail comprehensively on a still January evening, which is the thing the hourly model exists to show and the annual figure cannot.
Factors & digit properties
- Divisors (32)
- 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760
- Prime factorisation
- 2^3 × 3 × 5 × 73
- Digit sum
- 21
- Digital root
- 3
Representations
- Decimal
- 8760
- Scientific notation
- 8.760 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 0 1 0 0 0 1 1 1 0 0 0
1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 0 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 8,760
Octal
2 1 0 7 0
2 × 4,096 + 1 × 512 + 0 × 64 + 7 × 8 + 0 × 1 = 8,760
Hexadecimal
2 2 3 8
2 × 4,096 + 2 × 256 + 3 × 16 + 8 × 1 = 8,760
Read as powers of two: 8,192 + 512 + 32 + 16 + 8 = 8,760.
In historical numeral systems
Egyptian
8 lotuses, 7 coils of rope, 6 hobbles
8 × 1,000 + 7 × 100 + 6 × 10 = 8,760. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Abundant number
Related numbers & connections
8,760 is 365 x 24: the hours in a common year. It is the denominator behind energy metering and every availability percentage, which is why 99.9% uptime translates to about 8.8 hours of outage.
View 24 →Technology & computing
Availability targets are quoted against the 8,760 hours in a year, which is why the familiar figures translate as they do: 99% allows about 88 hours of downtime a year, 99.9% about 8.8 hours, and 99.99% about 53 minutes. Each additional nine costs an order of magnitude more engineering for an order of magnitude less outage.
DocumentedTechnology & computing
Finance & economics
Energy system planning is done in '8760 models' — one row for every hour of a year — because electricity demand and renewable output both vary by hour of day and by season, and an annual total conceals the mismatch entirely. A wind farm and a demand curve that balance over a year can fail comprehensively on a still January evening, which is the thing the hourly model exists to show and the annual figure cannot.
DocumentedFinance & economics
Mathematics
8,760 = 365 × 24 is the hours in a common year and 8,784 the hours in a leap year, but neither is exactly right where daylight saving applies: a spring clock change makes one day 23 hours and an autumn change makes one 25, so the civil year in such a jurisdiction still totals 8,760 while containing two days that are not 24 hours long. Systems that assume every day has 86,400 seconds get this wrong twice a year.
DocumentedMathematics
Common questions
How many hours are in a year?
8,760 in a common year, 8,784 in a leap year. The figure is the denominator behind uptime targets: 99% allows about 88 hours of outage a year, 99.9% about 8.8 hours, and 99.99% about 53 minutes. Where daylight saving applies it is not quite exact either — one day is 23 hours and another 25, though the annual total still comes to 8,760.
Is 8,760 a prime number?
No, 8,760 is not prime.
What are the factors of 8,760?
The factors of 8,760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026