375612800 has 96 divisors (see below), whose sum is σ = 937406520. Its totient is φ = 148705280.

The previous prime is 375612779. The next prime is 375612817. The reversal of 375612800 is 8216573.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 341852 + ... + 342948.

Almost surely, 2^375612800 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 375612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468703260).

375612800 is an abundant number, since it is smaller than the sum of its proper divisors (561793720).

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

375612800 is a wasteful number, since it uses less digits than its factorization.

375612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 375612800 is about 19380.7327002877. The cubic root of 375612800 is about 721.5173760656.

The spelling of 375612800 in words is "three hundred seventy-five million, six hundred twelve thousand, eight hundred".