768775115243520 has 5760 divisors, whose sum is σ = 3709282690713600. Its totient is φ = 143505594777600.

The previous prime is 768775115243477. The next prime is 768775115243533. The reversal of 768775115243520 is 25342511577867.

768775115243520 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 7 + 5 + 11 + 52 + 43 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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, 10531165962204 + ... + 10531165962276.

It is an arithmetic number, because the mean of its divisors is an integer number (643972689360).

Almost surely, 2^{768775115243520} is an apocalyptic number.

768775115243520 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 768775115243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854641345356800).

768775115243520 is an abundant number, since it is smaller than the sum of its proper divisors (2940507575470080).

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

768775115243520 is a wasteful number, since it uses less digits than its factorization.

768775115243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 63.

The spelling of 768775115243520 in words is "seven hundred sixty-eight trillion, seven hundred seventy-five billion, one hundred fifteen million, two hundred forty-three thousand, five hundred twenty".