867767767768 has 32 divisors (see below), whose sum is σ = 1775130714000. Its totient is φ = 394406296960.

The previous prime is 867767767631. The next prime is 867767767799.

It is a happy number.

867767767768 is nontrivially palindromic in base 10.

867767767768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 867767767691 and 867767767700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633978 + ... + 1462006.

Almost surely, 2^867767767768 is an apocalyptic number.

867767767768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

867767767768 is an abundant number, since it is smaller than the sum of its proper divisors (907362946232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

867767767768 is a wasteful number, since it uses less digits than its factorization.

867767767768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839955 (or 839951 counting only the distinct ones).

The product of its digits is 9758278656, while the sum is 82.

The spelling of 867767767768 in words is "eight hundred sixty-seven billion, seven hundred sixty-seven million, seven hundred sixty-seven thousand, seven hundred sixty-eight".