768504 has 64 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 224000.

The previous prime is 768503. The next prime is 768541. The reversal of 768504 is 405867.

768504 = 67² + 68² + ... + 137².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10789 + ... + 10859.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁷⁶⁸⁵⁰⁴ 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 768504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

768504 is an abundant number, since it is smaller than the sum of its proper divisors (1408776).

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

768504 is a wasteful number, since it uses less digits than its factorization.

768504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 768504 is about 876.6435991895. The cubic root of 768504 is about 91.5971675230.

The spelling of 768504 in words is "seven hundred sixty-eight thousand, five hundred four".