879984 has 100 divisors (see below), whose sum is σ = 2940784. Its totient is φ = 248832.

The previous prime is 879979. The next prime is 880001. The reversal of 879984 is 489978.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

879984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9024 + ... + 9120.

2⁸⁷⁹⁹⁸⁴ is an apocalyptic number.

879984 is a gapful number since it is divisible by the number (84) 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 879984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470392).

879984 is an abundant number, since it is smaller than the sum of its proper divisors (2060800).

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

879984 is a wasteful number, since it uses less digits than its factorization.

879984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 879984 is about 938.0746238973. The cubic root of 879984 is about 95.8278163596.

The spelling of 879984 in words is "eight hundred seventy-nine thousand, nine hundred eighty-four".