766829928667 has 12 divisors (see below), whose sum is σ = 843040090368. Its totient is φ = 696985031600.

The previous prime is 766829928661. The next prime is 766829928691.

766829928667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 766829928667 - 2²⁷ = 766695710939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 766829928593 and 766829928602.

It is not an unprimeable number, because it can be changed into a prime (766829928661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34278 + ... + 1238884.

It is an arithmetic number, because the mean of its divisors is an integer number (70253340864).

Almost surely, 2^766829928667 is an apocalyptic number.

766829928667 is a deficient number, since it is larger than the sum of its proper divisors (76210161701).

766829928667 is a wasteful number, since it uses less digits than its factorization.

766829928667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209890 (or 1209879 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 76.

The spelling of 766829928667 in words is "seven hundred sixty-six billion, eight hundred twenty-nine million, nine hundred twenty-eight thousand, six hundred sixty-seven".