78570 has 40 divisors (see below), whose sum is σ = 213444. Its totient is φ = 20736.

The previous prime is 78569. The next prime is 78571. The reversal of 78570 is 7587.

It is an interprime number because it is at equal distance from previous prime (78569) and next prime (78571).

It can be written as a sum of positive squares in 2 ways, for example, as 77841 + 729 = 279^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (78571) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 762 + ... + 858.

2⁷⁸⁵⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106722).

78570 is an abundant number, since it is smaller than the sum of its proper divisors (134874).

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

78570 is a wasteful number, since it uses less digits than its factorization.

78570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 78570 is about 280.3034070432. The cubic root of 78570 is about 42.8304119022.

The spelling of 78570 in words is "seventy-eight thousand, five hundred seventy".