11798800 has 60 divisors (see below), whose sum is σ = 30540580. Its totient is φ = 4354560.

The previous prime is 11798723. The next prime is 11798821. The reversal of 11798800 is 889711.

It can be written as a sum of positive squares in 6 ways, for example, as 4048144 + 7750656 = 2012^2 + 2784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4066 + ... + 6334.

Almost surely, 2^11798800 is an apocalyptic number.

11798800 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 11798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270290).

11798800 is an abundant number, since it is smaller than the sum of its proper divisors (18741780).

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

11798800 is a wasteful number, since it uses less digits than its factorization.

11798800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The square root of 11798800 is about 3434.9381362697. The cubic root of 11798800 is about 227.6560938173.

The spelling of 11798800 in words is "eleven million, seven hundred ninety-eight thousand, eight hundred".