52378800 has 60 divisors (see below), whose sum is σ = 167790600. Its totient is φ = 13967360.

The previous prime is 52378789. The next prime is 52378831. The reversal of 52378800 is 887325.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20625 + ... + 23024.

It is an arithmetic number, because the mean of its divisors is an integer number (2796510).

Almost surely, 2^52378800 is an apocalyptic number.

52378800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52378800 is an abundant number, since it is smaller than the sum of its proper divisors (115411800).

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

52378800 is a wasteful number, since it uses less digits than its factorization.

52378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43670 (or 43659 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 52378800 is about 7237.3199459468. The cubic root of 52378800 is about 374.1552540626.

The spelling of 52378800 in words is "fifty-two million, three hundred seventy-eight thousand, eight hundred".