51876800 has 42 divisors (see below), whose sum is σ = 127653288. Its totient is φ = 20750080.

The previous prime is 51876763. The next prime is 51876817. The reversal of 51876800 is 867815.

It is a happy number.

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, 14612 + ... + 17811.

It is an arithmetic number, because the mean of its divisors is an integer number (3039364).

Almost surely, 2^51876800 is an apocalyptic number.

51876800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51876800 is an abundant number, since it is smaller than the sum of its proper divisors (75776488).

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

51876800 is a wasteful number, since it uses less digits than its factorization.

51876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32445 (or 32430 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 51876800 is about 7202.5551021842. Note that the first 3 decimals coincide. The cubic root of 51876800 is about 372.9561099040.

The spelling of 51876800 in words is "fifty-one million, eight hundred seventy-six thousand, eight hundred".