76856915520 has 1008 divisors, whose sum is σ = 339387484800. Its totient is φ = 15945431040.

The previous prime is 76856915491. The next prime is 76856915549. The reversal of 76856915520 is 2551965867.

76856915520 is a `hidden beast` number, since 7 + 6 + 8 + 569 + 1 + 55 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (76856915491) and next prime (76856915549).

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119528319 + ... + 119528961.

Almost surely, 2^76856915520 is an apocalyptic number.

76856915520 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 76856915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169693742400).

76856915520 is an abundant number, since it is smaller than the sum of its proper divisors (262530569280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76856915520 is a wasteful number, since it uses less digits than its factorization.

76856915520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 76856915520 in words is "seventy-six billion, eight hundred fifty-six million, nine hundred fifteen thousand, five hundred twenty".