768631296 has 80 divisors (see below), whose sum is σ = 2136809664. Its totient is φ = 245059584.

The previous prime is 768631261. The next prime is 768631363. The reversal of 768631296 is 692136867.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24450 + ... + 46206.

Almost surely, 2^768631296 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 768631296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068404832).

768631296 is an abundant number, since it is smaller than the sum of its proper divisors (1368178368).

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

768631296 is a wasteful number, since it uses less digits than its factorization.

768631296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21801 (or 21785 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 768631296 is about 27724.2005475361. The cubic root of 768631296 is about 916.0222466836.

The spelling of 768631296 in words is "seven hundred sixty-eight million, six hundred thirty-one thousand, two hundred ninety-six".