768826628867 has 8 divisors (see below), whose sum is σ = 842200127472. Its totient is φ = 696033158400.

The previous prime is 768826628863. The next prime is 768826628893.

768826628867 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 768826628867 - 2² = 768826628863 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 768826628794 and 768826628803.

It is not an unprimeable number, because it can be changed into a prime (768826628861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145004258 + ... + 145009559.

It is an arithmetic number, because the mean of its divisors is an integer number (105275015934).

Almost surely, 2^768826628867 is an apocalyptic number.

768826628867 is a deficient number, since it is larger than the sum of its proper divisors (73373498605).

768826628867 is a wasteful number, since it uses less digits than its factorization.

768826628867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290014069.

The product of its digits is 1040449536, while the sum is 74.

The spelling of 768826628867 in words is "seven hundred sixty-eight billion, eight hundred twenty-six million, six hundred twenty-eight thousand, eight hundred sixty-seven".