762
762 is the year Baghdad was founded.
- Even
- Composite
Where 762 fits
Why 762 is special
It was built as a perfect circle and became the largest city in the world, home to the House of Wisdom where Greek, Persian and Indian texts were translated and extended.
Factors & digit properties
- Divisors (8)
- 1, 2, 3, 6, 127, 254, 381, 762
- Prime factorisation
- 2 × 3 × 127
- Digit sum
- 15
- Digital root
- 6
Representations
- Decimal
- 762
- Scientific notation
- 7.620 × 10^2
Roman numerals
D C C L X I I
Binary
1 0 1 1 1 1 1 0 1 0
1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 762
Octal
1 3 7 2
1 × 512 + 3 × 64 + 7 × 8 + 2 × 1 = 762
Hexadecimal
2 f a
2 × 256 + f × 16 + a × 1 = 762
Read as powers of two: 512 + 128 + 64 + 32 + 16 + 8 + 2 = 762.
In historical numeral systems
Egyptian
7 coils of rope, 6 hobbles, 2 strokes
7 × 100 + 6 × 10 + 2 × 1 = 762. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge + 2 vertical wedges (sixties place), 4 corner wedges + 2 vertical wedges (units place)
12 × 60 + 42 = 762. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
psi, then xi, then beta, marked as a numeral
psi-xi-beta + keraia
psi + xi + beta written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.
Hebrew numerals
tav, then shin, then samekh, then bet
tav-shin-samekh-bet
tav (400) + shin (300) + samekh (60) + bet (2) = 762, written in descending order.
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
Baghdad was founded in 762 and sacked by the Mongols in 1258, ending its position as the centre of scholarship for the known world.
View 1258 →Other connections
- is associated with1258
why?
Strength 0.50, confidence "high".
History
Baghdad was laid out as a circle in 762 and within decades was the centre of scholarship for the known world, translating and building on Greek, Persian and Sanskrit texts.
DocumentedHistoryGeography: IraqPeriod: 762
Common questions
Is 762 a prime number?
No, 762 is not prime.
What are the factors of 762?
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762.
What is 762 in Roman numerals?
762 in Roman numerals is DCCLXII.
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: 15 July 2026