768292 has 24 divisors (see below), whose sum is σ = 1604736. Its totient is φ = 314688.

The previous prime is 768263. The next prime is 768301. The reversal of 768292 is 292867.

768292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 48 + ... + 1240.

It is an arithmetic number, because the mean of its divisors is an integer number (66864).

2⁷⁶⁸²⁹² 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 768292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802368).

768292 is an abundant number, since it is smaller than the sum of its proper divisors (836444).

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

768292 is a wasteful number, since it uses less digits than its factorization.

768292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 768292 is about 876.5226751203. The cubic root of 768292 is about 91.5887440642.

The spelling of 768292 in words is "seven hundred sixty-eight thousand, two hundred ninety-two".