199999800 has 768 divisors, whose sum is σ = 949939200. Its totient is φ = 37324800.

The previous prime is 199999777. The next prime is 199999819. The reversal of 199999800 is 8999991.

199999800 = 102³ + 103³ + ... + 173³.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5405382 + ... + 5405418.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900).

Almost surely, 2^199999800 is an apocalyptic number.

199999800 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 199999800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474969600).

199999800 is an abundant number, since it is smaller than the sum of its proper divisors (749939400).

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

199999800 is a wasteful number, since it uses less digits than its factorization.

199999800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 54.

The square root of 199999800 is about 14142.1285526614. The cubic root of 199999800 is about 584.8033527080.

It can be divided in two parts, 199 and 999800, that added together give a palindrome (999999).

The spelling of 199999800 in words is "one hundred ninety-nine million, nine hundred ninety-nine thousand, eight hundred".