76578400 has 36 divisors (see below), whose sum is σ = 186948972. Its totient is φ = 30631040.

The previous prime is 76578391. The next prime is 76578407. The reversal of 76578400 is 487567.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 76578400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76578407) by changing a digit.

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, 47062 + ... + 48661.

It is an arithmetic number, because the mean of its divisors is an integer number (5193027).

Almost surely, 2^76578400 is an apocalyptic number.

It is an amenable number.

76578400 is an abundant number, since it is smaller than the sum of its proper divisors (110370572).

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

76578400 is a wasteful number, since it uses less digits than its factorization.

76578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95743 (or 95730 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 76578400 is about 8750.9085242619. The cubic root of 76578400 is about 424.6542054619.

The spelling of 76578400 in words is "seventy-six million, five hundred seventy-eight thousand, four hundred".