768890304 has 168 divisors, whose sum is σ = 2712659040. Its totient is φ = 202770432.

The previous prime is 768890293. The next prime is 768890329. The reversal of 768890304 is 403098867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 768890304.

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, 45082 + ... + 59750.

It is an arithmetic number, because the mean of its divisors is an integer number (16146780).

Almost surely, 2^768890304 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 768890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356329520).

768890304 is an abundant number, since it is smaller than the sum of its proper divisors (1943768736).

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

768890304 is a wasteful number, since it uses less digits than its factorization.

768890304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14707 (or 14694 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 768890304 is about 27728.8713077182. The cubic root of 768890304 is about 916.1251267192.

The spelling of 768890304 in words is "seven hundred sixty-eight million, eight hundred ninety thousand, three hundred four".