76814935295968 has 96 divisors (see below), whose sum is σ = 154962123079680. Its totient is φ = 37472977382400.

The previous prime is 76814935295963. The next prime is 76814935296007. The reversal of 76814935295968 is 86959253941867.

It is a junction number, because it is equal to n+sod(n) for n = 76814935295891 and 76814935295900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76814935295963) 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, 83848321 + ... + 84759487.

It is an arithmetic number, because the mean of its divisors is an integer number (1614188782080).

Almost surely, 2^{76814935295968} is an apocalyptic number.

It is an amenable number.

76814935295968 is an abundant number, since it is smaller than the sum of its proper divisors (78147187783712).

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

76814935295968 is a wasteful number, since it uses less digits than its factorization.

76814935295968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911640 (or 911632 counting only the distinct ones).

The product of its digits is 7054387200, while the sum is 82.

The spelling of 76814935295968 in words is "seventy-six trillion, eight hundred fourteen billion, nine hundred thirty-five million, two hundred ninety-five thousand, nine hundred sixty-eight".