768499442881 has 81 divisors (see below), whose sum is σ = 883868877801. Its totient is φ = 668042520768.

The previous prime is 768499442869. The next prime is 768499442897. The reversal of 768499442881 is 188244994867.

The square root of 768499442881 is 876641.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 163551492225 + 604947950656 = 404415^2 + 777784^2 .

It is not a de Polignac number, because 768499442881 - 2⁹ = 768499442369 is a prime.

It is a super-2 number, since 2×768499442881² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (222953472) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 768499442881.

It is not an unprimeable number, because it can be changed into a prime (768499442831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17872080046 + ... + 17872080088.

Almost surely, 2^768499442881 is an apocalyptic number.

768499442881 is the 876641-st square number.

768499442881 is the 438321-st centered octagonal number.

It is an amenable number.

768499442881 is a deficient number, since it is larger than the sum of its proper divisors (115369434920).

768499442881 is an equidigital number, since it uses as much as digits as its factorization.

768499442881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 70.

The spelling of 768499442881 in words is "seven hundred sixty-eight billion, four hundred ninety-nine million, four hundred forty-two thousand, eight hundred eighty-one".