766867768667 has 32 divisors (see below), whose sum is σ = 1062854897664. Its totient is φ = 533799849600.

The previous prime is 766867768651. The next prime is 766867768691.

766867768667 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 766867768667 - 2⁴ = 766867768651 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 766867768591 and 766867768600.

It is not an unprimeable number, because it can be changed into a prime (766867768607) 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 31 ways as a sum of consecutive naturals, for example, 12325448 + ... + 12387509.

It is an arithmetic number, because the mean of its divisors is an integer number (33214215552).

Almost surely, 2^766867768667 is an apocalyptic number.

766867768667 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

766867768667 is a deficient number, since it is larger than the sum of its proper divisors (295987128997).

766867768667 is a wasteful number, since it uses less digits than its factorization.

766867768667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24713019.

The product of its digits is 7169347584, while the sum is 80.

The spelling of 766867768667 in words is "seven hundred sixty-six billion, eight hundred sixty-seven million, seven hundred sixty-eight thousand, six hundred sixty-seven".