199798800 has 120 divisors (see below), whose sum is σ = 644500416. Its totient is φ = 52907520.

The previous prime is 199798799. The next prime is 199798801. The reversal of 199798800 is 8897991.

It is an interprime number because it is at equal distance from previous prime (199798799) and next prime (199798801).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (199798801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199902 + ... + 200898.

Almost surely, 2^199798800 is an apocalyptic number.

199798800 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 199798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322250208).

199798800 is an abundant number, since it is smaller than the sum of its proper divisors (444701616).

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

199798800 is a wasteful number, since it uses less digits than its factorization.

199798800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 51.

The square root of 199798800 is about 14135.0203395680. The cubic root of 199798800 is about 584.6073777226.

The spelling of 199798800 in words is "one hundred ninety-nine million, seven hundred ninety-eight thousand, eight hundred".