377809920 has 220 divisors, whose sum is σ = 1355343264. Its totient is φ = 100638720.

The previous prime is 377809919. The next prime is 377809931. The reversal of 377809920 is 29908773.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414265 + ... + 415175.

Almost surely, 2^377809920 is an apocalyptic number.

377809920 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 377809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677671632).

377809920 is an abundant number, since it is smaller than the sum of its proper divisors (977533344).

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

377809920 is an equidigital number, since it uses as much as digits as its factorization.

377809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 377809920 is about 19437.3331504093. Note that the first 3 decimals coincide. The cubic root of 377809920 is about 722.9214632069.

The spelling of 377809920 in words is "three hundred seventy-seven million, eight hundred nine thousand, nine hundred twenty".