768804960 has 576 divisors, whose sum is σ = 3191795712. Its totient is φ = 152064000.

The previous prime is 768804943. The next prime is 768804973. The reversal of 768804960 is 69408867.

It is a super-2 number, since 2×768804960² = 1182122133041203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12603330 + ... + 12603390.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2^768804960 is an apocalyptic number.

768804960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595897856).

768804960 is an abundant number, since it is smaller than the sum of its proper divisors (2422990752).

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

768804960 is a wasteful number, since it uses less digits than its factorization.

768804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 768804960 is about 27727.3323635722. The cubic root of 768804960 is about 916.0912299568.

The spelling of 768804960 in words is "seven hundred sixty-eight million, eight hundred four thousand, nine hundred sixty".