78582 has 16 divisors (see below), whose sum is σ = 179712. Its totient is φ = 22440.

The previous prime is 78577. The next prime is 78583. The reversal of 78582 is 28587.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78583) by changing a digit.

78582 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 7 ways as a sum of consecutive naturals, for example, 894 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2⁷⁸⁵⁸² is an apocalyptic number.

78582 is an abundant number, since it is smaller than the sum of its proper divisors (101130).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89856).

78582 is a wasteful number, since it uses less digits than its factorization.

78582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883.

The product of its digits is 4480, while the sum is 30.

The square root of 78582 is about 280.3248116025. The cubic root of 78582 is about 42.8325922882.

The spelling of 78582 in words is "seventy-eight thousand, five hundred eighty-two".