11800800 has 216 divisors, whose sum is σ = 45700200. Its totient is φ = 2841600.

The previous prime is 11800799. The next prime is 11800819. The reversal of 11800800 is 800811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79126 + ... + 79274.

It is an arithmetic number, because the mean of its divisors is an integer number (211575).

Almost surely, 2^11800800 is an apocalyptic number.

11800800 is a gapful number since it is divisible by the number (10) 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 11800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850100).

11800800 is an abundant number, since it is smaller than the sum of its proper divisors (33899400).

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

11800800 is a wasteful number, since it uses less digits than its factorization.

11800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11800800 is about 3435.2292499919. The cubic root of 11800800 is about 227.6689563249.

The spelling of 11800800 in words is "eleven million, eight hundred thousand, eight hundred".