199979760 has 80 divisors (see below), whose sum is σ = 639959040. Its totient is φ = 51605760.

The previous prime is 199979749. The next prime is 199979771. The reversal of 199979760 is 67979991.

It is an interprime number because it is at equal distance from previous prime (199979749) and next prime (199979771).

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

It is a self number, because there is not a number n which added to its sum of digits gives 199979760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6000 + ... + 20879.

It is an arithmetic number, because the mean of its divisors is an integer number (7999488).

Almost surely, 2^199979760 is an apocalyptic number.

199979760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199979760 is an abundant number, since it is smaller than the sum of its proper divisors (439979280).

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

199979760 is a wasteful number, since it uses less digits than its factorization.

199979760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26926 (or 26920 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 57.

The square root of 199979760 is about 14141.4200135630. The cubic root of 199979760 is about 584.7838196041.

The spelling of 199979760 in words is "one hundred ninety-nine million, nine hundred seventy-nine thousand, seven hundred sixty".