75860 has 12 divisors (see below), whose sum is σ = 159348. Its totient is φ = 30336.

The previous prime is 75853. The next prime is 75869. The reversal of 75860 is 6857.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 55696 = 142^2 + 236^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75860.

It is not an unprimeable number, because it can be changed into a prime (75869) by changing a digit.

75860 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 3 ways as a sum of consecutive naturals, for example, 1877 + ... + 1916.

It is an arithmetic number, because the mean of its divisors is an integer number (13279).

2⁷⁵⁸⁶⁰ is an apocalyptic number.

It is an amenable number.

75860 is an abundant number, since it is smaller than the sum of its proper divisors (83488).

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 (79674).

75860 is a wasteful number, since it uses less digits than its factorization.

75860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 75860 is about 275.4269413111. The cubic root of 75860 is about 42.3322104124.

It can be divided in two parts, 758 and 60, that added together give a palindrome (818).

The spelling of 75860 in words is "seventy-five thousand, eight hundred sixty".