766687786667 has 8 divisors (see below), whose sum is σ = 846463625280. Its totient is φ = 688591439560.

The previous prime is 766687786663. The next prime is 766687786793.

766687786667 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 766687786667 - 2² = 766687786663 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 766687786591 and 766687786600.

It is not an unprimeable number, because it can be changed into a prime (766687786663) 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 7 ways as a sum of consecutive naturals, for example, 419871917 + ... + 419873742.

It is an arithmetic number, because the mean of its divisors is an integer number (105807953160).

Almost surely, 2^766687786667 is an apocalyptic number.

766687786667 is a deficient number, since it is larger than the sum of its proper divisors (79775838613).

766687786667 is a wasteful number, since it uses less digits than its factorization.

766687786667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839745753.

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

The spelling of 766687786667 in words is "seven hundred sixty-six billion, six hundred eighty-seven million, seven hundred eighty-six thousand, six hundred sixty-seven".