376893120 has 112 divisors (see below), whose sum is σ = 1259677440. Its totient is φ = 95210496.

The previous prime is 376893119. The next prime is 376893161. The reversal of 376893120 is 21398673.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7909 + ... + 28571.

It is an arithmetic number, because the mean of its divisors is an integer number (11247120).

Almost surely, 2^376893120 is an apocalyptic number.

376893120 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 376893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629838720).

376893120 is an abundant number, since it is smaller than the sum of its proper divisors (882784320).

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

376893120 is a wasteful number, since it uses less digits than its factorization.

376893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20702 (or 20692 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 376893120 is about 19413.7353438229. The cubic root of 376893120 is about 722.3362383922.

The spelling of 376893120 in words is "three hundred seventy-six million, eight hundred ninety-three thousand, one hundred twenty".