76727800 has 48 divisors (see below), whose sum is σ = 188894160. Its totient is φ = 28884480.

The previous prime is 76727779. The next prime is 76727801. The reversal of 76727800 is 872767.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76727800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76727801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7884 + ... + 14683.

It is an arithmetic number, because the mean of its divisors is an integer number (3935295).

Almost surely, 2^76727800 is an apocalyptic number.

It is an amenable number.

76727800 is an abundant number, since it is smaller than the sum of its proper divisors (112166360).

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

76727800 is a wasteful number, since it uses less digits than its factorization.

76727800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22600 (or 22591 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 76727800 is about 8759.4406214096. The cubic root of 76727800 is about 424.9301846104.

The spelling of 76727800 in words is "seventy-six million, seven hundred twenty-seven thousand, eight hundred".