76996800 has 126 divisors (see below), whose sum is σ = 273715988. Its totient is φ = 20528640.

The previous prime is 76996753. The next prime is 76996807. The reversal of 76996800 is 869967.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76996807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11727 + ... + 17073.

Almost surely, 2^76996800 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 76996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136857994).

76996800 is an abundant number, since it is smaller than the sum of its proper divisors (196719188).

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

76996800 is a wasteful number, since it uses less digits than its factorization.

76996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 76996800 is about 8774.7820485753. The cubic root of 76996800 is about 425.4261929984.

The spelling of 76996800 in words is "seventy-six million, nine hundred ninety-six thousand, eight hundred".