768395974080 has 224 divisors, whose sum is σ = 2789052258816. Its totient is φ = 175578402816.

The previous prime is 768395974039. The next prime is 768395974097. The reversal of 768395974080 is 80479593867.

768395974080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23819722 + ... + 23851958.

Almost surely, 2^768395974080 is an apocalyptic number.

768395974080 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 768395974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394526129408).

768395974080 is an abundant number, since it is smaller than the sum of its proper divisors (2020656284736).

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

768395974080 is a wasteful number, since it uses less digits than its factorization.

768395974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35811 (or 35801 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 768395974080 in words is "seven hundred sixty-eight billion, three hundred ninety-five million, nine hundred seventy-four thousand, eighty".