76709268480 has 352 divisors, whose sum is σ = 278143084800. Its totient is φ = 17887592448.

The previous prime is 76709268469. The next prime is 76709268527. The reversal of 76709268480 is 8486290767.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 76709268480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3783811 + ... + 3804029.

Almost surely, 2^76709268480 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 76709268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139071542400).

76709268480 is an abundant number, since it is smaller than the sum of its proper divisors (201433816320).

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

76709268480 is a wasteful number, since it uses less digits than its factorization.

76709268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20279 (or 20261 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 76709268480 in words is "seventy-six billion, seven hundred nine million, two hundred sixty-eight thousand, four hundred eighty".