879440 has 20 divisors (see below), whose sum is σ = 2044884. Its totient is φ = 351744.

The previous prime is 879413. The next prime is 879449. The reversal of 879440 is 44978.

It is a happy number.

879440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 652864 = 476^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 879397 and 879406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879449) 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, 5417 + ... + 5576.

2⁸⁷⁹⁴⁴⁰ is an apocalyptic number.

879440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

879440 is an abundant number, since it is smaller than the sum of its proper divisors (1165444).

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

879440 is a wasteful number, since it uses less digits than its factorization.

879440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11006 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 879440 is about 937.7846234611. The cubic root of 879440 is about 95.8080655921.

It can be divided in two parts, 879 and 440, that multiplied together give a triangular number (386760 = T₈₇₉).

The spelling of 879440 in words is "eight hundred seventy-nine thousand, four hundred forty".