768980604672 has 540 divisors, whose sum is σ = 2824286739120. Its totient is φ = 206780055552.

The previous prime is 768980604649. The next prime is 768980604673. The reversal of 768980604672 is 276406089867.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768980604673) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17250829 + ... + 17295347.

It is an arithmetic number, because the mean of its divisors is an integer number (5230160628).

Almost surely, 2^768980604672 is an apocalyptic number.

768980604672 is a gapful number since it is divisible by the number (72) 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 768980604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412143369560).

768980604672 is an abundant number, since it is smaller than the sum of its proper divisors (2055306134448).

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

768980604672 is a wasteful number, since it uses less digits than its factorization.

768980604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44578 (or 44548 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 768980604672 in words is "seven hundred sixty-eight billion, nine hundred eighty million, six hundred four thousand, six hundred seventy-two".