879753667 has 12 divisors (see below), whose sum is σ = 953708160. Its totient is φ = 811163808.

The previous prime is 879753659. The next prime is 879753671. The reversal of 879753667 is 766357978.

It is not a de Polignac number, because 879753667 - 2³ = 879753659 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (879753167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181309 + ... + 186097.

It is an arithmetic number, because the mean of its divisors is an integer number (79475680).

Almost surely, 2^879753667 is an apocalyptic number.

879753667 is a deficient number, since it is larger than the sum of its proper divisors (73954493).

879753667 is a wasteful number, since it uses less digits than its factorization.

879753667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5889 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 58.

The square root of 879753667 is about 29660.6417159171. The cubic root of 879753667 is about 958.1945475508.

The spelling of 879753667 in words is "eight hundred seventy-nine million, seven hundred fifty-three thousand, six hundred sixty-seven".