768339 has 32 divisors (see below), whose sum is σ = 1344000. Its totient is φ = 427680.

The previous prime is 768329. The next prime is 768343. The reversal of 768339 is 933867.

It is not a de Polignac number, because 768339 - 2⁴ = 768323 is a prime.

768339 is a lucky number.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (768319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3762 + ... + 3960.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2⁷⁶⁸³³⁹ is an apocalyptic number.

768339 is a deficient number, since it is larger than the sum of its proper divisors (575661).

768339 is a wasteful number, since it uses less digits than its factorization.

768339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 768339 is about 876.5494851975. The cubic root of 768339 is about 91.5906116628.

The spelling of 768339 in words is "seven hundred sixty-eight thousand, three hundred thirty-nine".