768876181678867 has 32 divisors (see below), whose sum is σ = 823085285750784. Its totient is φ = 716664985344000.

The previous prime is 768876181678811. The next prime is 768876181678961.

768876181678867 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 768876181678867 - 2⁷ = 768876181678739 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (768876181678067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91126698 + ... + 99205984.

It is an arithmetic number, because the mean of its divisors is an integer number (25721415179712).

Almost surely, 2^{768876181678867} is an apocalyptic number.

768876181678867 is a deficient number, since it is larger than the sum of its proper divisors (54209104071917).

768876181678867 is a wasteful number, since it uses less digits than its factorization.

768876181678867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080059.

The product of its digits is 101964054528, while the sum is 94.

The spelling of 768876181678867 in words is "seven hundred sixty-eight trillion, eight hundred seventy-six billion, one hundred eighty-one million, six hundred seventy-eight thousand, eight hundred sixty-seven".