76827695560 has 256 divisors, whose sum is σ = 223278612480. Its totient is φ = 23089536000.

The previous prime is 76827695551. The next prime is 76827695599. The reversal of 76827695560 is 6559672867.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 29311050 + ... + 29313670.

It is an arithmetic number, because the mean of its divisors is an integer number (872182080).

Almost surely, 2^76827695560 is an apocalyptic number.

76827695560 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 76827695560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111639306240).

76827695560 is an abundant number, since it is smaller than the sum of its proper divisors (146450916920).

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

76827695560 is a wasteful number, since it uses less digits than its factorization.

76827695560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 76827695560 in words is "seventy-six billion, eight hundred twenty-seven million, six hundred ninety-five thousand, five hundred sixty".