768780504 has 128 divisors (see below), whose sum is σ = 2235340800. Its totient is φ = 244558080.

The previous prime is 768780503. The next prime is 768780533. The reversal of 768780504 is 405087867.

768780504 is a `hidden beast` number, since 7 + 68 + 7 + 80 + 504 = 666.

768780504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 768780504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768780503) 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, 415309 + ... + 417155.

It is an arithmetic number, because the mean of its divisors is an integer number (17463600).

Almost surely, 2^768780504 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 768780504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117670400).

768780504 is an abundant number, since it is smaller than the sum of its proper divisors (1466560296).

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

768780504 is a wasteful number, since it uses less digits than its factorization.

768780504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 768780504 is about 27726.8913511775. The cubic root of 768780504 is about 916.0815161083.

The spelling of 768780504 in words is "seven hundred sixty-eight million, seven hundred eighty thousand, five hundred four".