879744 has 64 divisors (see below), whose sum is σ = 2448000. Its totient is φ = 279552.

The previous prime is 879743. The next prime is 879797. The reversal of 879744 is 447978.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11097 + ... + 11175.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

2⁸⁷⁹⁷⁴⁴ 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 879744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224000).

879744 is an abundant number, since it is smaller than the sum of its proper divisors (1568256).

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

879744 is a wasteful number, since it uses less digits than its factorization.

879744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 879744 is about 937.9466935813. The cubic root of 879744 is about 95.8191037894.

It can be divided in two parts, 87974 and 4, that added together give a palindrome (87978).

The spelling of 879744 in words is "eight hundred seventy-nine thousand, seven hundred forty-four".