76376800 has 36 divisors (see below), whose sum is σ = 186456816. Its totient is φ = 30550400.

The previous prime is 76376791. The next prime is 76376837. The reversal of 76376800 is 867367.

It is a self number, because there is not a number n which added to its sum of digits gives 76376800.

It is a congruent number.

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, 46936 + ... + 48535.

It is an arithmetic number, because the mean of its divisors is an integer number (5179356).

Almost surely, 2^76376800 is an apocalyptic number.

It is an amenable number.

76376800 is an abundant number, since it is smaller than the sum of its proper divisors (110080016).

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

76376800 is a wasteful number, since it uses less digits than its factorization.

76376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95491 (or 95478 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 76376800 is about 8739.3821291897. The cubic root of 76376800 is about 424.2812302989.

The spelling of 76376800 in words is "seventy-six million, three hundred seventy-six thousand, eight hundred".