768344883040 has 96 divisors (see below), whose sum is σ = 2130599709504. Its totient is φ = 256312719360.

The previous prime is 768344883029. The next prime is 768344883041. The reversal of 768344883040 is 40388443867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768344883041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9229131 + ... + 9312010.

It is an arithmetic number, because the mean of its divisors is an integer number (22193746974).

Almost surely, 2^768344883040 is an apocalyptic number.

768344883040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

768344883040 is an abundant number, since it is smaller than the sum of its proper divisors (1362254826464).

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

768344883040 is a wasteful number, since it uses less digits than its factorization.

768344883040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18541200 (or 18541192 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 55.

The spelling of 768344883040 in words is "seven hundred sixty-eight billion, three hundred forty-four million, eight hundred eighty-three thousand, forty".