768264 has 64 divisors (see below), whose sum is σ = 2332800. Its totient is φ = 205824.

The previous prime is 768263. The next prime is 768301. The reversal of 768264 is 462867.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (768263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2722 + ... + 2990.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁷⁶⁸²⁶⁴ 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 768264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166400).

768264 is an abundant number, since it is smaller than the sum of its proper divisors (1564536).

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

768264 is a wasteful number, since it uses less digits than its factorization.

768264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 768264 is about 876.5067027696. The cubic root of 768264 is about 91.5876314160.

The spelling of 768264 in words is "seven hundred sixty-eight thousand, two hundred sixty-four".