768318080 has 64 divisors (see below), whose sum is σ = 1844812800. Its totient is φ = 305980416.

The previous prime is 768318079. The next prime is 768318107. The reversal of 768318080 is 80813867.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150449 + ... + 155471.

It is an arithmetic number, because the mean of its divisors is an integer number (28825200).

Almost surely, 2^768318080 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 768318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922406400).

768318080 is an abundant number, since it is smaller than the sum of its proper divisors (1076494720).

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

768318080 is a wasteful number, since it uses less digits than its factorization.

768318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 768318080 is about 27718.5511886895. The cubic root of 768318080 is about 915.8978039213.

The spelling of 768318080 in words is "seven hundred sixty-eight million, three hundred eighteen thousand, eighty".