768395264 has 288 divisors, whose sum is σ = 2091398400. Its totient is φ = 278691840.

The previous prime is 768395213. The next prime is 768395267. The reversal of 768395264 is 462593867.

It is a happy number.

Its product of digits (2177280) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (768395267) 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 23 ways as a sum of consecutive naturals, for example, 24786929 + ... + 24786959.

It is an arithmetic number, because the mean of its divisors is an integer number (7261800).

Almost surely, 2^768395264 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 768395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045699200).

768395264 is an abundant number, since it is smaller than the sum of its proper divisors (1323003136).

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

768395264 is a wasteful number, since it uses less digits than its factorization.

768395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 50.

The square root of 768395264 is about 27719.9434342857. The cubic root of 768395264 is about 915.9284727683.

The spelling of 768395264 in words is "seven hundred sixty-eight million, three hundred ninety-five thousand, two hundred sixty-four".