76319438880 has 96 divisors (see below), whose sum is σ = 241274545344. Its totient is φ = 20278342656.

The previous prime is 76319438861. The next prime is 76319438891. The reversal of 76319438880 is 8883491367.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×76319438880³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76319438880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154042 + ... + 419961.

It is an arithmetic number, because the mean of its divisors is an integer number (2513276514).

Almost surely, 2^76319438880 is an apocalyptic number.

It is an amenable number.

76319438880 is an abundant number, since it is smaller than the sum of its proper divisors (164955106464).

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

76319438880 is a wasteful number, since it uses less digits than its factorization.

76319438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574298 (or 574290 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 76319438880 in words is "seventy-six billion, three hundred nineteen million, four hundred thirty-eight thousand, eight hundred eighty".