768872 has 16 divisors (see below), whose sum is σ = 1552740. Its totient is φ = 354816.

The previous prime is 768869. The next prime is 768881. The reversal of 768872 is 278867.

It can be written as a sum of positive squares in 2 ways, for example, as 662596 + 106276 = 814^2 + 326^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 768872.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3593 + ... + 3800.

2⁷⁶⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

768872 is an abundant number, since it is smaller than the sum of its proper divisors (783868).

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

768872 is a wasteful number, since it uses less digits than its factorization.

768872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412 (or 7408 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 768872 is about 876.8534655232. The cubic root of 768872 is about 91.6117856984.

It can be divided in two parts, 7688 and 72, that multiplied together give a square (553536 = 744²).

The spelling of 768872 in words is "seven hundred sixty-eight thousand, eight hundred seventy-two".