76044852936900 has 135 divisors (see below), whose sum is σ = 246509914956151. Its totient is φ = 20278418160960.

The previous prime is 76044852936893. The next prime is 76044852937007. The reversal of 76044852936900 is 963925844067.

The square root of 76044852936900 is 8720370.

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

76044852936900 is a `hidden beast` number, since 7 + 6 + 0 + 4 + 48 + 529 + 3 + 69 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6809939091396 + 69234913845504 = 2609586^2 + 8320752^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×76044852936900² (a number of 29 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 784784854 + ... + 784881746.

Almost surely, 2^{76044852936900} is an apocalyptic number.

76044852936900 is the 8720370-th square number.

It is an amenable number.

76044852936900 is an abundant number, since it is smaller than the sum of its proper divisors (170465062019251).

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

76044852936900 is an frugal number, since it uses more digits than its factorization.

76044852936900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193812 (or 96903 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 76044852936900 in words is "seventy-six trillion, forty-four billion, eight hundred fifty-two million, nine hundred thirty-six thousand, nine hundred".