390762768 has 80 divisors (see below), whose sum is σ = 1107072000. Its totient is φ = 117786240.

The previous prime is 390762763. The next prime is 390762773. The reversal of 390762768 is 867267093.

It is an interprime number because it is at equal distance from previous prime (390762763) and next prime (390762773).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (390762761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103213 + ... + 106931.

It is an arithmetic number, because the mean of its divisors is an integer number (13838400).

Almost surely, 2^390762768 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 390762768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553536000).

390762768 is an abundant number, since it is smaller than the sum of its proper divisors (716309232).

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

390762768 is a wasteful number, since it uses less digits than its factorization.

390762768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 390762768 is about 19767.7203541531. The cubic root of 390762768 is about 731.0903628149.

The spelling of 390762768 in words is "three hundred ninety million, seven hundred sixty-two thousand, seven hundred sixty-eight".