Numberwise

840

840 is a highly composite number with 32 divisors.

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Where 840 fits

Where 840 fits: MathematicsMathematics: Highly composite number, Harshad (Niven) number.MathematicsHighly composite numberHarshad (Niven) number840
840 connects to 1 world: mathematics.

Why 840 is special

Numbers like this divide evenly in many ways, which is why they are chosen for things that must be split repeatedly — 60 seconds, 360 degrees, 12 inches. 840 is the smallest number divisible by all of 1 to 8.

Factors & digit properties

Divisors (32)
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Prime factorisation
2^3 × 3 × 5 × 7
Digit sum
12
Digital root
3

Representations

Decimal
840
Binary
1101001000
Octal
1510
Hexadecimal
348
Roman numeral
DCCCXL
Scientific notation
8.400 × 10^2

Other mathematical patterns

  • Abundant number
  • Highly composite number
  • Harshad (Niven) number

Mathematics

  • 840 is the smallest number divisible by each of 1 to 8, which is why it appears wherever a quantity must be split many ways without remainder. It is the same reasoning that put 60 minutes in an hour and 360 degrees in a circle, carried further.

    DocumentedMathematics

Common questions

Is 840 a prime number?

No, 840 is not prime.

What are the factors of 840?

The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840.

What is 840 in Roman numerals?

840 in Roman numerals is DCCCXL.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 3 August 2026