76716800 has 54 divisors (see below), whose sum is σ = 189901908. Its totient is φ = 30684160.

The previous prime is 76716797. The next prime is 76716823. The reversal of 76716800 is 861767.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 407 + ... + 12393.

It is an arithmetic number, because the mean of its divisors is an integer number (3516702).

Almost surely, 2^76716800 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 76716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94950954).

76716800 is an abundant number, since it is smaller than the sum of its proper divisors (113185108).

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

76716800 is a wasteful number, since it uses less digits than its factorization.

76716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12013 (or 11994 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 76716800 is about 8758.8127049275. The cubic root of 76716800 is about 424.9098770842.

The spelling of 76716800 in words is "seventy-six million, seven hundred sixteen thousand, eight hundred".