768243342867 has 256 divisors, whose sum is σ = 1436839219200. Its totient is φ = 352316252160.

The previous prime is 768243342859. The next prime is 768243342877.

It is a happy number.

768243342867 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 768243342867 - 2³ = 768243342859 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 768243342867.

It is not an unprimeable number, because it can be changed into a prime (768243342847) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2773441533 + ... + 2773441809.

It is an arithmetic number, because the mean of its divisors is an integer number (5612653200).

Almost surely, 2^768243342867 is an apocalyptic number.

768243342867 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

768243342867 is a deficient number, since it is larger than the sum of its proper divisors (668595876333).

768243342867 is a wasteful number, since it uses less digits than its factorization.

768243342867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686.

The product of its digits is 65028096, while the sum is 60.

The spelling of 768243342867 in words is "seven hundred sixty-eight billion, two hundred forty-three million, three hundred forty-two thousand, eight hundred sixty-seven".