199700800 has 84 divisors (see below), whose sum is σ = 529243036. Its totient is φ = 73728000.

The previous prime is 199700797. The next prime is 199700801. The reversal of 199700800 is 8007991.

It can be written as a sum of positive squares in 6 ways, for example, as 7268416 + 192432384 = 2696^2 + 13872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199700801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16000 + ... + 25600.

Almost surely, 2^199700800 is an apocalyptic number.

199700800 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 199700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264621518).

199700800 is an abundant number, since it is smaller than the sum of its proper divisors (329542236).

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

199700800 is a wasteful number, since it uses less digits than its factorization.

199700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9636 (or 9621 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The square root of 199700800 is about 14131.5533470316. The cubic root of 199700800 is about 584.5117800636.

The spelling of 199700800 in words is "one hundred ninety-nine million, seven hundred thousand, eight hundred".