376252800 has 384 divisors, whose sum is σ = 1548115200. Its totient is φ = 78028800.

The previous prime is 376252781. The next prime is 376252817. The reversal of 376252800 is 8252673.

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

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738946 + ... + 739454.

It is an arithmetic number, because the mean of its divisors is an integer number (4031550).

Almost surely, 2^376252800 is an apocalyptic number.

376252800 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 376252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774057600).

376252800 is an abundant number, since it is smaller than the sum of its proper divisors (1171862400).

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

376252800 is a wasteful number, since it uses less digits than its factorization.

376252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 376252800 is about 19397.2369166333. The cubic root of 376252800 is about 721.9269371001.

The spelling of 376252800 in words is "three hundred seventy-six million, two hundred fifty-two thousand, eight hundred".