76242712320 has 144 divisors (see below), whose sum is σ = 270555858720. Its totient is φ = 20331380736.

The previous prime is 76242712313. The next prime is 76242712331. The reversal of 76242712320 is 2321724267.

It is a happy number.

76242712320 is a `hidden beast` number, since 7 + 62 + 4 + 271 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068489 + ... + 1137608.

It is an arithmetic number, because the mean of its divisors is an integer number (1878860130).

Almost surely, 2^76242712320 is an apocalyptic number.

It is an amenable number.

76242712320 is an abundant number, since it is smaller than the sum of its proper divisors (194313146400).

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

76242712320 is a wasteful number, since it uses less digits than its factorization.

76242712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206127 (or 2206107 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 76242712320 in words is "seventy-six billion, two hundred forty-two million, seven hundred twelve thousand, three hundred twenty".