76726800 has 90 divisors (see below), whose sum is σ = 266275802. Its totient is φ = 20459520.

The previous prime is 76726799. The next prime is 76726813. The reversal of 76726800 is 862767.

It can be written as a sum of positive squares in 3 ways, for example, as 1245456 + 75481344 = 1116^2 + 8688^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7057 + ... + 14256.

Almost surely, 2^76726800 is an apocalyptic number.

It is an amenable number.

76726800 is an abundant number, since it is smaller than the sum of its proper divisors (189549002).

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

76726800 is a wasteful number, since it uses less digits than its factorization.

76726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21337 (or 21323 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 76726800 is about 8759.3835399530. The cubic root of 76726800 is about 424.9283385518.

The spelling of 76726800 in words is "seventy-six million, seven hundred twenty-six thousand, eight hundred".