390638080 has 80 divisors (see below), whose sum is σ = 1070467200. Its totient is φ = 133926912.

The previous prime is 390638071. The next prime is 390638117. The reversal of 390638080 is 80836093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7021 + ... + 28819.

It is an arithmetic number, because the mean of its divisors is an integer number (13380840).

Almost surely, 2^390638080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535233600).

390638080 is an abundant number, since it is smaller than the sum of its proper divisors (679829120).

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

390638080 is an equidigital number, since it uses as much as digits as its factorization.

390638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21829 (or 21813 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 390638080 is about 19764.5662740167. The cubic root of 390638080 is about 731.0125936412.

The spelling of 390638080 in words is "three hundred ninety million, six hundred thirty-eight thousand, eighty".