768717760 has 56 divisors (see below), whose sum is σ = 1834048656. Its totient is φ = 306892800.

The previous prime is 768717743. The next prime is 768717769. The reversal of 768717760 is 67717867.

768717760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768717769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187735 + ... + 191785.

Almost surely, 2^768717760 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 768717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917024328).

768717760 is an abundant number, since it is smaller than the sum of its proper divisors (1065330896).

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

768717760 is a wasteful number, since it uses less digits than its factorization.

768717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 49.

The square root of 768717760 is about 27725.7598633473. The cubic root of 768717760 is about 916.0565934409.

The spelling of 768717760 in words is "seven hundred sixty-eight million, seven hundred seventeen thousand, seven hundred sixty".