376435080 has 512 divisors, whose sum is σ = 1586304000. Its totient is φ = 77414400.

The previous prime is 376435057. The next prime is 376435091. The reversal of 376435080 is 80534673.

It is a happy number.

376435080 is a `hidden beast` number, since 3 + 7 + 643 + 5 + 0 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 3727030 + ... + 3727130.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^376435080 is an apocalyptic number.

376435080 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 376435080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

376435080 is an abundant number, since it is smaller than the sum of its proper divisors (1209868920).

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

376435080 is a wasteful number, since it uses less digits than its factorization.

376435080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

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

The square root of 376435080 is about 19401.9349550502. The cubic root of 376435080 is about 722.0435002169.

The spelling of 376435080 in words is "three hundred seventy-six million, four hundred thirty-five thousand, eighty".