76192942720 has 256 divisors, whose sum is σ = 202385952000. Its totient is φ = 27298529280.

The previous prime is 76192942717. The next prime is 76192942733. The reversal of 76192942720 is 2724929167.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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, 24889990 + ... + 24893050.

It is an arithmetic number, because the mean of its divisors is an integer number (790570125).

Almost surely, 2^76192942720 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 76192942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101192976000).

76192942720 is an abundant number, since it is smaller than the sum of its proper divisors (126193009280).

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

76192942720 is a wasteful number, since it uses less digits than its factorization.

76192942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 76192942720 in words is "seventy-six billion, one hundred ninety-two million, nine hundred forty-two thousand, seven hundred twenty".