879840 has 144 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 211968.

The previous prime is 879839. The next prime is 879859. The reversal of 879840 is 48978.

879840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 879795 and 879804.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 879840.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18697 + ... + 18743.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2⁸⁷⁹⁸⁴⁰ is an apocalyptic number.

879840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

879840 is an abundant number, since it is smaller than the sum of its proper divisors (2422368).

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

879840 is a wasteful number, since it uses less digits than its factorization.

879840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 879840 is about 937.9978678014. The cubic root of 879840 is about 95.8225890076.

The spelling of 879840 in words is "eight hundred seventy-nine thousand, eight hundred forty".