376790400 has 576 divisors, whose sum is σ = 1622106000. Its totient is φ = 85155840.

The previous prime is 376790383. The next prime is 376790411. The reversal of 376790400 is 4097673.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4233556 + ... + 4233644.

Almost surely, 2^376790400 is an apocalyptic number.

376790400 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 376790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811053000).

376790400 is an abundant number, since it is smaller than the sum of its proper divisors (1245315600).

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

376790400 is a wasteful number, since it uses less digits than its factorization.

376790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 376790400 is about 19411.0896139295. The cubic root of 376790400 is about 722.2706096005.

The spelling of 376790400 in words is "three hundred seventy-six million, seven hundred ninety thousand, four hundred".