768213312867 has 64 divisors (see below), whose sum is σ = 1528070046720. Its totient is φ = 368374003200.

The previous prime is 768213312809. The next prime is 768213312869.

It is a happy number.

768213312867 is a `hidden beast` number, since 7 + 6 + 8 + 21 + 331 + 286 + 7 = 666.

768213312867 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 768213312867 - 2¹⁰ = 768213311843 is a prime.

It is not an unprimeable number, because it can be changed into a prime (768213312869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14184934 + ... + 14238987.

It is an arithmetic number, because the mean of its divisors is an integer number (23876094480).

Almost surely, 2^768213312867 is an apocalyptic number.

768213312867 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

768213312867 is a deficient number, since it is larger than the sum of its proper divisors (759856733853).

768213312867 is a wasteful number, since it uses less digits than its factorization.

768213312867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28423961 (or 28423955 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 768213312867 in words is "seven hundred sixty-eight billion, two hundred thirteen million, three hundred twelve thousand, eight hundred sixty-seven".