| Base | Representation |
|---|---|
| bin | 100011110000111000… |
| … | …0110101101111000000 |
| 3 | 21100020110201222012200 |
| 4 | 1013201300311233000 |
| 5 | 2224242320330030 |
| 6 | 55140555553200 |
| 7 | 5356141153110 |
| oct | 1074160655700 |
| 9 | 240213658180 |
| 10 | 76802120640 |
| 11 | 2a631881a83 |
| 12 | 12a74a5b800 |
| 13 | 731c7595cb |
| 14 | 3a08183040 |
| 15 | 1ee788dd60 |
| hex | 11e1c35bc0 |
76802120640 has 336 divisors, whose sum is σ = 302656036800. Its totient is φ = 17511137280.
The previous prime is 76802120621. The next prime is 76802120641. The reversal of 76802120640 is 4602120867.
76802120640 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 2 + 1 + 2 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×768021206402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 76802120595 and 76802120604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (76802120641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8482836 + ... + 8491884.
Almost surely, 276802120640 is an apocalyptic number.
76802120640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 76802120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151328018400).
76802120640 is an abundant number, since it is smaller than the sum of its proper divisors (225853916160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76802120640 is a wasteful number, since it uses less digits than its factorization.
76802120640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9500 (or 9487 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 76802120640 in words is "seventy-six billion, eight hundred two million, one hundred twenty thousand, six hundred forty".
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