811200 has 126 divisors (see below), whose sum is σ = 2881884. Its totient is φ = 199680.

The previous prime is 811199. The next prime is 811207. The reversal of 811200 is 2118.

It is a happy number.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (811207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62394 + ... + 62406.

2⁸¹¹²⁰⁰ is an apocalyptic number.

811200 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 811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440942).

811200 is an abundant number, since it is smaller than the sum of its proper divisors (2070684).

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

811200 is a wasteful number, since it uses less digits than its factorization.

811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

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

The square root of 811200 is about 900.6664199358. Note that the first 3 decimals coincide. The cubic root of 811200 is about 93.2629855391.

Multiplying 811200 by its sum of digits (12), we get a square (9734400 = 3120²).

811200 divided by its sum of digits (12) gives a square (67600 = 260²).

Adding to 811200 its reverse (2118), we get a palindrome (813318).

The spelling of 811200 in words is "eight hundred eleven thousand, two hundred".