76801903120 has 20 divisors (see below), whose sum is σ = 178564424940. Its totient is φ = 30720761216.

The previous prime is 76801903111. The next prime is 76801903133. The reversal of 76801903120 is 2130910867.

It can be written as a sum of positive squares in 2 ways, for example, as 9901046016 + 66900857104 = 99504^2 + 258652^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 76801903120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 480011815 + ... + 480011974.

It is an arithmetic number, because the mean of its divisors is an integer number (8928221247).

Almost surely, 2^76801903120 is an apocalyptic number.

It is an amenable number.

76801903120 is an abundant number, since it is smaller than the sum of its proper divisors (101762521820).

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

76801903120 is a wasteful number, since it uses less digits than its factorization.

76801903120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960023802 (or 960023796 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 76801903120 in words is "seventy-six billion, eight hundred one million, nine hundred three thousand, one hundred twenty".