390307580768 has 192 divisors, whose sum is σ = 939133440000. Its totient is φ = 159307771392.

The previous prime is 390307580749. The next prime is 390307580779. The reversal of 390307580768 is 867085703093.

It is a happy number.

It is a super-3 number, since 3×390307580768³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60331838 + ... + 60338306.

It is an arithmetic number, because the mean of its divisors is an integer number (4891320000).

Almost surely, 2^390307580768 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 390307580768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469566720000).

390307580768 is an abundant number, since it is smaller than the sum of its proper divisors (548825859232).

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

390307580768 is a wasteful number, since it uses less digits than its factorization.

390307580768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 390307580768 in words is "three hundred ninety billion, three hundred seven million, five hundred eighty thousand, seven hundred sixty-eight".