768798720 has 312 divisors, whose sum is σ = 2754928176. Its totient is φ = 198180864.

The previous prime is 768798703. The next prime is 768798731. The reversal of 768798720 is 27897867.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7925712 + ... + 7925808.

It is an arithmetic number, because the mean of its divisors is an integer number (8829898).

Almost surely, 2^768798720 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 768798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377464088).

768798720 is an abundant number, since it is smaller than the sum of its proper divisors (1986129456).

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

768798720 is a wasteful number, since it uses less digits than its factorization.

768798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 768798720 is about 27727.2198389958. The cubic root of 768798720 is about 916.0887514674.

The spelling of 768798720 in words is "seven hundred sixty-eight million, seven hundred ninety-eight thousand, seven hundred twenty".