768991010860800 has 2592 divisors, whose sum is σ = 3535208992143360. Its totient is φ = 162124797542400.

The previous prime is 768991010860711. The next prime is 768991010860859. The reversal of 768991010860800 is 8068010199867.

768991010860800 is a `hidden beast` number, since 7 + 6 + 8 + 9 + 9 + 1 + 0 + 10 + 8 + 608 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 254380088089 + ... + 254380091111.

It is an arithmetic number, because the mean of its divisors is an integer number (1363892358080).

Almost surely, 2^{768991010860800} is an apocalyptic number.

768991010860800 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 768991010860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767604496071680).

768991010860800 is an abundant number, since it is smaller than the sum of its proper divisors (2766217981282560).

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

768991010860800 is a wasteful number, since it uses less digits than its factorization.

768991010860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 768991010860800 in words is "seven hundred sixty-eight trillion, nine hundred ninety-one billion, ten million, eight hundred sixty thousand, eight hundred".