768832 has 28 divisors (see below), whose sum is σ = 1568196. Its totient is φ = 373760.

The previous prime is 768811. The next prime is 768841. The reversal of 768832 is 238867.

It is a happy number.

768832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 389376 = 616^2 + 624^2 .

It is a super-2 number, since 2×768832² = 1182205288448, which contains 22 as substring.

Its product of digits (16128) is a multiple of the sum of its prime divisors (336).

It is a nialpdrome in base 16.

It is a congruent number.

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, 2478 + ... + 2770.

It is an arithmetic number, because the mean of its divisors is an integer number (56007).

2⁷⁶⁸⁸³² 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 768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784098).

768832 is an abundant number, since it is smaller than the sum of its proper divisors (799364).

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

768832 is a wasteful number, since it uses less digits than its factorization.

768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 768832 is about 876.8306563984. The cubic root of 768832 is about 91.6101969922.

It can be divided in two parts, 7688 and 32, that multiplied together give a square (246016 = 496²).

The spelling of 768832 in words is "seven hundred sixty-eight thousand, eight hundred thirty-two".