772589879667 has 12 divisors (see below), whose sum is σ = 1117235648880. Its totient is φ = 514472617008.

The previous prime is 772589879627. The next prime is 772589879669. The reversal of 772589879667 is 766978985277.

772589879667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 772589879667 - 2¹² = 772589875571 is a prime.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (772589879669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48933567 + ... + 48949352.

It is an arithmetic number, because the mean of its divisors is an integer number (93102970740).

Almost surely, 2^772589879667 is an apocalyptic number.

772589879667 is a deficient number, since it is larger than the sum of its proper divisors (344645769213).

772589879667 is a wasteful number, since it uses less digits than its factorization.

772589879667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97883802 (or 97883799 counting only the distinct ones).

The product of its digits is 4480842240, while the sum is 81.

The spelling of 772589879667 in words is "seven hundred seventy-two billion, five hundred eighty-nine million, eight hundred seventy-nine thousand, six hundred sixty-seven".