The number 760
760 is a composite number with 16 divisors. Its prime factorisation is × 5 × 19. Divisors (16): 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
760 is composite. Its prime factorisation is
- 3
The divisors add up to 1800; without 760 itself that is 1040, so 760 is abundant (1040 is more than 760). Euler's totient φ(760) = 288 numbers up to 760 share no factor with it.
- 4
The digits of 760 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 760 = 2^{3} \times 5 \times 19 \]760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1800 |
| Euler totient φ(n) | 288 |
| Square | 577600 |
| Cube | 438976000 |
| Square root | 27.568098 (= 2√190) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 108 |
| Scientific notation | 7.6 × |
760 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and sixty |
| Roman numerals | DCCLX |
| Binary (base 2) | 1011111000 |
| Octal (base 8) | 1370 |
| Hexadecimal (base 16) | 2F8 |
| Base 3 | 1001011 |
| As time | 760 seconds = 12 min 40 s |
Is 760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (760 ÷ 2 = 380) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (760 ÷ 4 = 190) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (760 ÷ 5 = 152) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (760 ÷ 8 = 95) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (760 ÷ 10 = 76) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 760 a prime number?
No. 760 = × 5 × 19, so it is divisible by 2.
What are the factors of 760?
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760.
What is 760 in binary?
1011111000 (hexadecimal 2F8, octal 1370).
What is the square root of 760?
About 27.5681, exactly 2√190.
What is 760 in Roman numerals?
DCCLX.
Is 760 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 760?
It is a composite number with 16 divisors.