76131846400 has 81 divisors (see below), whose sum is σ = 188492866891. Its totient is φ = 30443909120.

The previous prime is 76131846397. The next prime is 76131846421. The reversal of 76131846400 is 464813167.

The square root of 76131846400 is 275920.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43350571264 + 32781275136 = 208208^2 + 181056^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22071876 + ... + 22075324.

Almost surely, 2^76131846400 is an apocalyptic number.

76131846400 is the 275920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76131846400

76131846400 is an abundant number, since it is smaller than the sum of its proper divisors (112361020491).

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

76131846400 is an frugal number, since it uses more digits than its factorization.

76131846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 76131846400 in words is "seventy-six billion, one hundred thirty-one million, eight hundred forty-six thousand, four hundred".