78984 has 24 divisors (see below), whose sum is σ = 214110. Its totient is φ = 26304.

The previous prime is 78979. The next prime is 78989. The reversal of 78984 is 48987.

It is an interprime number because it is at equal distance from previous prime (78979) and next prime (78989).

It can be written as a sum of positive squares in only one way, i.e., 72900 + 6084 = 270^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (78989) by changing a digit.

78984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 477 + ... + 620.

2⁷⁸⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

78984 is an abundant number, since it is smaller than the sum of its proper divisors (135126).

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

78984 is a wasteful number, since it uses less digits than its factorization.

78984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1102 counting only the distinct ones).

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

The square root of 78984 is about 281.0409222871. The cubic root of 78984 is about 42.9055073048.

The spelling of 78984 in words is "seventy-eight thousand, nine hundred eighty-four".