776995872768 has 336 divisors, whose sum is σ = 2308591833912. Its totient is φ = 251658240000.

The previous prime is 776995872733. The next prime is 776995872769. The reversal of 776995872768 is 867278599677.

776995872768 is a `hidden beast` number, since 7 + 7 + 6 + 9 + 9 + 587 + 27 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 769564053504 + 7431819264 = 877248^2 + 86208^2 .

It is not an unprimeable number, because it can be changed into a prime (776995872769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212161728 + ... + 1212162368.

Almost surely, 2^776995872768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 776995872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154295916956).

776995872768 is an abundant number, since it is smaller than the sum of its proper divisors (1531595961144).

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

776995872768 is a wasteful number, since it uses less digits than its factorization.

776995872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1088 counting only the distinct ones).

The product of its digits is 4480842240, while the sum is 81.

The spelling of 776995872768 in words is "seven hundred seventy-six billion, nine hundred ninety-five million, eight hundred seventy-two thousand, seven hundred sixty-eight".