79884 has 36 divisors (see below), whose sum is σ = 231504. Its totient is φ = 22752.

The previous prime is 79873. The next prime is 79889. The reversal of 79884 is 48897.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (79889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94 + ... + 410.

2⁷⁹⁸⁸⁴ 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 79884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115752).

79884 is an abundant number, since it is smaller than the sum of its proper divisors (151620).

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

79884 is a wasteful number, since it uses less digits than its factorization.

79884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

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

The square root of 79884 is about 282.6375771195. The cubic root of 79884 is about 43.0678575245.

The spelling of 79884 in words is "seventy-nine thousand, eight hundred eighty-four".