76728800 has 36 divisors (see below), whose sum is σ = 187316136. Its totient is φ = 30691200.

The previous prime is 76728793. The next prime is 76728811. The reversal of 76728800 is 882767.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47156 + ... + 48755.

It is an arithmetic number, because the mean of its divisors is an integer number (5203226).

Almost surely, 2^76728800 is an apocalyptic number.

It is an amenable number.

76728800 is an abundant number, since it is smaller than the sum of its proper divisors (110587336).

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

76728800 is a wasteful number, since it uses less digits than its factorization.

76728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95931 (or 95918 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 76728800 is about 8759.4977024941. The cubic root of 76728800 is about 424.9320306529.

The spelling of 76728800 in words is "seventy-six million, seven hundred twenty-eight thousand, eight hundred".