The number 770
770 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 11. Divisors (16): 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 770: a Harshad number: divisible by its digit sum 14.
- 2
770 is composite. Its prime factorisation is
- 3
The divisors add up to 1728; without 770 itself that is 958, so 770 is abundant (958 is more than 770). Euler's totient φ(770) = 240 numbers up to 770 share no factor with it.
- 4
The digits of 770 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 770 = 2 \times 5 \times 7 \times 11 \]
770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1728 |
| Euler totient φ(n) | 240 |
| Square | 592900 |
| Cube | 456533000 |
| Square root | 27.748874 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 33 |
| Scientific notation | 7.7 × |
770 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and seventy |
| Roman numerals | DCCLXX |
| Binary (base 2) | 1100000010 |
| Octal (base 8) | 1402 |
| Hexadecimal (base 16) | 302 |
| Base 3 | 1001112 |
| As time | 770 seconds = 12 min 50 s |
Is 770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (770 ÷ 2 = 385) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (770 ÷ 5 = 154) | 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 | Yes (770 ÷ 7 = 110) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (770 ÷ 10 = 77) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (770 ÷ 11 = 70) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 770 a prime number?
No. 770 = 2 × 5 × 7 × 11, so it is divisible by 2.
What are the factors of 770?
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770.
What is 770 in binary?
1100000010 (hexadecimal 302, octal 1402).
What is the square root of 770?
About 27.7489.
What is 770 in Roman numerals?
DCCLXX.
Is 770 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 770?
770 is a Harshad number: divisible by its digit sum 14.