78584 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 33120.

The previous prime is 78583. The next prime is 78593. The reversal of 78584 is 48587.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 78584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78583) 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, 1649 + ... + 1695.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁷⁸⁵⁸⁴ 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 78584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

78584 is an abundant number, since it is smaller than the sum of its proper divisors (94216).

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

78584 is a wasteful number, since it uses less digits than its factorization.

78584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 78584 is about 280.3283788702. The cubic root of 78584 is about 42.8329556643.

The spelling of 78584 in words is "seventy-eight thousand, five hundred eighty-four".