390199680 has 384 divisors, whose sum is σ = 1512594720. Its totient is φ = 95551488.

The previous prime is 390199679. The next prime is 390199699. The reversal of 390199680 is 86991093.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021664 + ... + 2021856.

Almost surely, 2^390199680 is an apocalyptic number.

390199680 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 390199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756297360).

390199680 is an abundant number, since it is smaller than the sum of its proper divisors (1122395040).

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

390199680 is a wasteful number, since it uses less digits than its factorization.

390199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 390199680 is about 19753.4726061014. The cubic root of 390199680 is about 730.7390276486.

The spelling of 390199680 in words is "three hundred ninety million, one hundred ninety-nine thousand, six hundred eighty".