376012800 has 384 divisors, whose sum is σ = 1462741200. Its totient is φ = 94371840.

The previous prime is 376012789. The next prime is 376012843. The reversal of 376012800 is 8210673.

376012800 is a `hidden beast` number, since 37 + 601 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22118392 + ... + 22118408.

Almost surely, 2^376012800 is an apocalyptic number.

376012800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731370600).

376012800 is an abundant number, since it is smaller than the sum of its proper divisors (1086728400).

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

376012800 is an equidigital number, since it uses as much as digits as its factorization.

376012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 376012800 is about 19391.0494816552. The cubic root of 376012800 is about 721.7734061784.

It can be divided in two parts, 37601 and 2800, that added together give a square (40401 = 201²).

The spelling of 376012800 in words is "three hundred seventy-six million, twelve thousand, eight hundred".