377904 has 20 divisors (see below), whose sum is σ = 976376. Its totient is φ = 125952.

The previous prime is 377887. The next prime is 377911. The reversal of 377904 is 409773.

It is a super-2 number, since 2×377904² = 285622866432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 377904.

It is an unprimeable number.

377904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3889 + ... + 3984.

2³⁷⁷⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

377904 is an abundant number, since it is smaller than the sum of its proper divisors (598472).

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

377904 is a wasteful number, since it uses less digits than its factorization.

377904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7884 (or 7878 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 377904 is about 614.7389689942. The cubic root of 377904 is about 72.2981464108.

The spelling of 377904 in words is "three hundred seventy-seven thousand, nine hundred four".