76968800 has 36 divisors (see below), whose sum is σ = 187902036. Its totient is φ = 30787200.

The previous prime is 76968799. The next prime is 76968803. The reversal of 76968800 is 886967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76968803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47306 + ... + 48905.

It is an arithmetic number, because the mean of its divisors is an integer number (5219501).

Almost surely, 2^76968800 is an apocalyptic number.

It is an amenable number.

76968800 is an abundant number, since it is smaller than the sum of its proper divisors (110933236).

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

76968800 is a wasteful number, since it uses less digits than its factorization.

76968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96231 (or 96218 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 76968800 is about 8773.1864222755. The cubic root of 76968800 is about 425.3746177917.

The spelling of 76968800 in words is "seventy-six million, nine hundred sixty-eight thousand, eight hundred".