7879585 has 48 divisors (see below), whose sum is σ = 12378240. Its totient is φ = 4700160.

The previous prime is 7879579. The next prime is 7879589. The reversal of 7879585 is 5859787.

It is not a de Polignac number, because 7879585 - 2³ = 7879577 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7879589) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192165 + ... + 192205.

It is an arithmetic number, because the mean of its divisors is an integer number (257880).

Almost surely, 2^7879585 is an apocalyptic number.

It is an amenable number.

7879585 is a deficient number, since it is larger than the sum of its proper divisors (4498655).

7879585 is a wasteful number, since it uses less digits than its factorization.

7879585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its digits is 705600, while the sum is 49.

The square root of 7879585 is about 2807.0598497360. The cubic root of 7879585 is about 198.9914644959.

It can be divided in two parts, 7879 and 585, that added together give a square (8464 = 92²).

The spelling of 7879585 in words is "seven million, eight hundred seventy-nine thousand, five hundred eighty-five".