The number 7760
7760 is a composite number with 20 divisors. Its prime factorisation is × 5 × 97. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970 … 7760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7760: a Harshad number: divisible by its digit sum 20.
- 2
7760 is composite. Its prime factorisation is
- 3
The divisors add up to 18228; without 7760 itself that is 10468, so 7760 is abundant (10468 is more than 7760). Euler's totient φ(7760) = 3072 numbers up to 7760 share no factor with it.
- 4
The digits of 7760 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7760 = 2^{4} \times 5 \times 97 \]7760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 18228 |
| Euler totient φ(n) | 3072 |
| Square | 60217600 |
| Cube | 467288576000 |
| Square root | 88.090862 (= 4√485) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 7.76 × |
7760 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and sixty |
| Binary (base 2) | 1111001010000 |
| Octal (base 8) | 17120 |
| Hexadecimal (base 16) | 1E50 |
| Base 3 | 101122102 |
| As time | 7760 seconds = 2 h 9 min 20 s |
Is 7760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7760 ÷ 2 = 3880) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7760 ÷ 4 = 1940) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7760 ÷ 5 = 1552) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (7760 ÷ 8 = 970) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7760 ÷ 10 = 776) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7760 a prime number?
No. 7760 = × 5 × 97, so it is divisible by 2.
What are the factors of 7760?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970, 1552, 1940, 3880, 7760.
What is 7760 in binary?
1111001010000 (hexadecimal 1E50, octal 17120).
What is the square root of 7760?
About 88.0909, exactly 4√485.
Is 7760 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 7760?
7760 is a Harshad number: divisible by its digit sum 20.