768585867 has 16 divisors (see below), whose sum is σ = 1202833152. Its totient is φ = 427321440.

The previous prime is 768585823. The next prime is 768585899.

768585867 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 768585867 - 2¹⁹ = 768061579 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 768585867.

It is not an unprimeable number, because it can be changed into a prime (768585817) 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 15 ways as a sum of consecutive naturals, for example, 493809 + ... + 495362.

It is an arithmetic number, because the mean of its divisors is an integer number (75177072).

Almost surely, 2^768585867 is an apocalyptic number.

768585867 is a deficient number, since it is larger than the sum of its proper divisors (434247285).

768585867 is a wasteful number, since it uses less digits than its factorization.

768585867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989218.

The product of its digits is 22579200, while the sum is 60.

The square root of 768585867 is about 27723.3812331757. The cubic root of 768585867 is about 916.0041995415.

The spelling of 768585867 in words is "seven hundred sixty-eight million, five hundred eighty-five thousand, eight hundred sixty-seven".