76878800 has 60 divisors (see below), whose sum is σ = 187371936. Its totient is φ = 30307200.

The previous prime is 76878757. The next prime is 76878821. The reversal of 76878800 is 887867.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 27047 + ... + 29753.

Almost surely, 2^76878800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93685968).

76878800 is an abundant number, since it is smaller than the sum of its proper divisors (110493136).

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

76878800 is a wasteful number, since it uses less digits than its factorization.

76878800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 44.

The square root of 76878800 is about 8768.0556567577. The cubic root of 76878800 is about 425.2087555761.

The spelling of 76878800 in words is "seventy-six million, eight hundred seventy-eight thousand, eight hundred".