81200 has 60 divisors (see below), whose sum is σ = 230640. Its totient is φ = 26880.

The previous prime is 81199. The next prime is 81203. The reversal of 81200 is 218.

It is not an unprimeable number, because it can be changed into a prime (81203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2786 + ... + 2814.

It is an arithmetic number, because the mean of its divisors is an integer number (3844).

2⁸¹²⁰⁰ is an apocalyptic number.

81200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115320).

81200 is an abundant number, since it is smaller than the sum of its proper divisors (149440).

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

81200 is a wasteful number, since it uses less digits than its factorization.

81200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 81200 is about 284.9561369755. The cubic root of 81200 is about 43.3030689403.

Adding to 81200 its reverse (218), we get a palindrome (81418).

The spelling of 81200 in words is "eighty-one thousand, two hundred".