800112 has 40 divisors (see below), whose sum is σ = 2103040. Its totient is φ = 262080.

The previous prime is 800089. The next prime is 800113. The reversal of 800112 is 211008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800113) by changing a digit.

800112 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, 3687 + ... + 3897.

It is an arithmetic number, because the mean of its divisors is an integer number (52576).

2⁸⁰⁰¹¹² 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 800112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051520).

800112 is an abundant number, since it is smaller than the sum of its proper divisors (1302928).

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

800112 is a wasteful number, since it uses less digits than its factorization.

800112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 800112 is about 894.4897987121. The cubic root of 800112 is about 92.8361086197.

The spelling of 800112 in words is "eight hundred thousand, one hundred twelve".