76158650880 has 480 divisors, whose sum is σ = 300776780304. Its totient is φ = 17642815488.

The previous prime is 76158650879. The next prime is 76158650899. The reversal of 76158650880 is 8805685167.

76158650880 is a `hidden beast` number, since 7 + 6 + 1 + 58 + 6 + 508 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19955517696 + 56203133184 = 141264^2 + 237072^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5084362 + ... + 5099318.

Almost surely, 2^76158650880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76158650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150388390152).

76158650880 is an abundant number, since it is smaller than the sum of its proper divisors (224618129424).

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

76158650880 is a wasteful number, since it uses less digits than its factorization.

76158650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15016 (or 14997 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 76158650880 in words is "seventy-six billion, one hundred fifty-eight million, six hundred fifty thousand, eight hundred eighty".