199960800 has 432 divisors, whose sum is σ = 771981840. Its totient is φ = 44728320.

The previous prime is 199960799. The next prime is 199960811. The reversal of 199960800 is 8069991.

199960800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6895186 + ... + 6895214.

It is an arithmetic number, because the mean of its divisors is an integer number (1786995).

Almost surely, 2^199960800 is an apocalyptic number.

199960800 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 199960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385990920).

199960800 is an abundant number, since it is smaller than the sum of its proper divisors (572021040).

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

199960800 is a wasteful number, since it uses less digits than its factorization.

199960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 199960800 is about 14140.7496265226. The cubic root of 199960800 is about 584.7653379810.

The spelling of 199960800 in words is "one hundred ninety-nine million, nine hundred sixty thousand, eight hundred".