76932470790 has 256 divisors, whose sum is σ = 249857280000. Its totient is φ = 16658431488.

The previous prime is 76932470789. The next prime is 76932470827. The reversal of 76932470790 is 9707423967.

76932470790 is a `hidden beast` number, since 76 + 9 + 32 + 470 + 79 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2895486 + ... + 2921934.

It is an arithmetic number, because the mean of its divisors is an integer number (976005000).

Almost surely, 2^76932470790 is an apocalyptic number.

76932470790 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76932470790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124928640000).

76932470790 is an abundant number, since it is smaller than the sum of its proper divisors (172924809210).

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

76932470790 is a wasteful number, since it uses less digits than its factorization.

76932470790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26503 (or 26485 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 76932470790 in words is "seventy-six billion, nine hundred thirty-two million, four hundred seventy thousand, seven hundred ninety".