78568 has 32 divisors (see below), whose sum is σ = 178560. Its totient is φ = 31680.

The previous prime is 78553. The next prime is 78569. The reversal of 78568 is 86587.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78569) by changing a digit.

78568 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, 1258 + ... + 1318.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁷⁸⁵⁶⁸ 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 78568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

78568 is an abundant number, since it is smaller than the sum of its proper divisors (99992).

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

78568 is a wasteful number, since it uses less digits than its factorization.

78568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 78568 is about 280.2998394577. The cubic root of 78568 is about 42.8300484830.

It can be divided in two parts, 78 and 568, that added together give a palindrome (646).

The spelling of 78568 in words is "seventy-eight thousand, five hundred sixty-eight".