390320784 has 120 divisors (see below), whose sum is σ = 1258649600. Its totient is φ = 110605824.

The previous prime is 390320771. The next prime is 390320837. The reversal of 390320784 is 487023093.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

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 23 ways as a sum of consecutive naturals, for example, 126492 + ... + 129540.

Almost surely, 2^390320784 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 390320784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629324800).

390320784 is an abundant number, since it is smaller than the sum of its proper divisors (868328816).

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

390320784 is a wasteful number, since it uses less digits than its factorization.

390320784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 390320784 is about 19756.5377533615. The cubic root of 390320784 is about 730.8146182330.

The spelling of 390320784 in words is "three hundred ninety million, three hundred twenty thousand, seven hundred eighty-four".