68790 has 16 divisors (see below), whose sum is σ = 165168. Its totient is φ = 18336.

The previous prime is 68777. The next prime is 68791. The reversal of 68790 is 9786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 2293 = 68790 / (6 + 8 + 7 + 9 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68791) by changing a digit.

68790 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, 1117 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (10323).

2⁶⁸⁷⁹⁰ is an apocalyptic number.

68790 is an abundant number, since it is smaller than the sum of its proper divisors (96378).

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 (82584).

68790 is a wasteful number, since it uses less digits than its factorization.

68790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 68790 is about 262.2784779581. The cubic root of 68790 is about 40.9740069232.

It can be divided in two parts, 687 and 90, that added together give a palindrome (777).

The spelling of 68790 in words is "sixty-eight thousand, seven hundred ninety".