768807936 has 440 divisors, whose sum is σ = 2663130624. Its totient is φ = 218972160.

The previous prime is 768807931. The next prime is 768807961. The reversal of 768807936 is 639708867.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768807931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24800241 + ... + 24800271.

Almost surely, 2^768807936 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 768807936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331565312).

768807936 is an abundant number, since it is smaller than the sum of its proper divisors (1894322688).

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

768807936 is a wasteful number, since it uses less digits than its factorization.

768807936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 768807936 is about 27727.3860289786. The cubic root of 768807936 is about 916.0924120008.

The spelling of 768807936 in words is "seven hundred sixty-eight million, eight hundred seven thousand, nine hundred thirty-six".