76964926080 has 512 divisors, whose sum is σ = 287223644160. Its totient is φ = 17167417344.

The previous prime is 76964926057. The next prime is 76964926091. The reversal of 76964926080 is 8062946967.

It is a self number, because there is not a number n which added to its sum of digits gives 76964926080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114360624 + ... + 114361296.

It is an arithmetic number, because the mean of its divisors is an integer number (560983680).

Almost surely, 2^76964926080 is an apocalyptic number.

76964926080 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 76964926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143611822080).

76964926080 is an abundant number, since it is smaller than the sum of its proper divisors (210258718080).

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

76964926080 is a wasteful number, since it uses less digits than its factorization.

76964926080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 76964926080 in words is "seventy-six billion, nine hundred sixty-four million, nine hundred twenty-six thousand, eighty".