376412800 has 192 divisors, whose sum is σ = 1009310400. Its totient is φ = 138240000.

The previous prime is 376412791. The next prime is 376412809. The reversal of 376412800 is 8214673.

It is an interprime number because it is at equal distance from previous prime (376412791) and next prime (376412809).

It is not an unprimeable number, because it can be changed into a prime (376412809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2492725 + ... + 2492875.

It is an arithmetic number, because the mean of its divisors is an integer number (5256825).

Almost surely, 2^376412800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504655200).

376412800 is an abundant number, since it is smaller than the sum of its proper divisors (632897600).

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

376412800 is a wasteful number, since it uses less digits than its factorization.

376412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 376412800 is about 19401.3607770177. The cubic root of 376412800 is about 722.0292547800.

The spelling of 376412800 in words is "three hundred seventy-six million, four hundred twelve thousand, eight hundred".