879795 has 64 divisors (see below), whose sum is σ = 1920000. Its totient is φ = 381024.

The previous prime is 879743. The next prime is 879797. The reversal of 879795 is 597978.

It is not a de Polignac number, because 879795 - 2⁷ = 879667 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

Its product of digits (158760) is a multiple of the sum of its prime factors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 879795.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46296 + ... + 46314.

It is an arithmetic number, because the mean of its divisors is an integer number (30000).

2⁸⁷⁹⁷⁹⁵ is an apocalyptic number.

879795 is an abundant number, since it is smaller than the sum of its proper divisors (1040205).

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

879795 is a wasteful number, since it uses less digits than its factorization.

879795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 879795 is about 937.9738802333. The cubic root of 879795 is about 95.8209553431.

It can be divided in two parts, 87 and 9795, that multiplied together give a triangular number (852165 = T₁₃₀₅).

The spelling of 879795 in words is "eight hundred seventy-nine thousand, seven hundred ninety-five".