76115292100 has 81 divisors (see below), whose sum is σ = 169047198733. Its totient is φ = 29747563360.

The previous prime is 76115292083. The next prime is 76115292191. The reversal of 76115292100 is 129251167.

The square root of 76115292100 is 275890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27401505156 + 48713786944 = 165534^2 + 220712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129668007 + ... + 129668593.

Almost surely, 2^76115292100 is an apocalyptic number.

76115292100 is the 275890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76115292100

76115292100 is an abundant number, since it is smaller than the sum of its proper divisors (92931906633).

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

76115292100 is an equidigital number, since it uses as much as digits as its factorization.

76115292100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 76115292100 in words is "seventy-six billion, one hundred fifteen million, two hundred ninety-two thousand, one hundred".