199768880 has 80 divisors (see below), whose sum is σ = 477886080. Its totient is φ = 77635584.

The previous prime is 199768873. The next prime is 199768889. The reversal of 199768880 is 88867991.

It is a happy number.

199768880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (199768889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461144 + ... + 461576.

It is an arithmetic number, because the mean of its divisors is an integer number (5973576).

Almost surely, 2^199768880 is an apocalyptic number.

199768880 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 199768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238943040).

199768880 is an abundant number, since it is smaller than the sum of its proper divisors (278117200).

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

199768880 is a wasteful number, since it uses less digits than its factorization.

199768880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 56.

The square root of 199768880 is about 14133.9619357065. The cubic root of 199768880 is about 584.5781944877.

The spelling of 199768880 in words is "one hundred ninety-nine million, seven hundred sixty-eight thousand, eight hundred eighty".