376534080 has 336 divisors, whose sum is σ = 1422897840. Its totient is φ = 90832896.

The previous prime is 376534049. The next prime is 376534129. The reversal of 376534080 is 80435673.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 178062336 + 198471744 = 13344^2 + 14088^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

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, 3332104 + ... + 3332216.

It is an arithmetic number, because the mean of its divisors is an integer number (4234815).

Almost surely, 2^376534080 is an apocalyptic number.

376534080 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 376534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711448920).

376534080 is an abundant number, since it is smaller than the sum of its proper divisors (1046363760).

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

376534080 is a wasteful number, since it uses less digits than its factorization.

376534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 376534080 is about 19404.4860792550. The cubic root of 376534080 is about 722.1067922645.

The spelling of 376534080 in words is "three hundred seventy-six million, five hundred thirty-four thousand, eighty".