879712 has 24 divisors (see below), whose sum is σ = 1781136. Its totient is φ = 427392.

The previous prime is 879709. The next prime is 879713. The reversal of 879712 is 217978.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8⁵ + 7⁵ + 7⁷ + 9⁴ + 1 + 2⁵ .

Together with 901424 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879713) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 813 + ... + 1555.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

2⁸⁷⁹⁷¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568).

879712 is an abundant number, since it is smaller than the sum of its proper divisors (901424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

879712 is a wasteful number, since it uses less digits than its factorization.

879712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

The square root of 879712 is about 937.9296348874. The cubic root of 879712 is about 95.8179419937.

The spelling of 879712 in words is "eight hundred seventy-nine thousand, seven hundred twelve".