68800 has 42 divisors (see below), whose sum is σ = 173228. Its totient is φ = 26880.

The previous prime is 68791. The next prime is 68813. The reversal of 68800 is 886.

68800 is nontrivially palindromic in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1579 + ... + 1621.

68800 is a Friedman number, since it can be written as 800*86, using all its digits and the basic arithmetic operations.

2⁶⁸⁸⁰⁰ 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 68800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86614).

68800 is an abundant number, since it is smaller than the sum of its proper divisors (104428).

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

68800 is a wasteful number, since it uses less digits than its factorization.

68800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 68800 is about 262.2975409721. The cubic root of 68800 is about 40.9759922904.

It can be divided in two parts, 68 and 800, that added together give a palindrome (868).

The spelling of 68800 in words is "sixty-eight thousand, eight hundred".