199766880 has 72 divisors (see below), whose sum is σ = 681709392. Its totient is φ = 53270784.

The previous prime is 199766857. The next prime is 199766927. The reversal of 199766880 is 88667991.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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, 67924 + ... + 70803.

It is an arithmetic number, because the mean of its divisors is an integer number (9468186).

Almost surely, 2^199766880 is an apocalyptic number.

199766880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199766880 is an abundant number, since it is smaller than the sum of its proper divisors (481942512).

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

199766880 is a wasteful number, since it uses less digits than its factorization.

199766880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138748 (or 138737 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 199766880 is about 14133.8911839592. The cubic root of 199766880 is about 584.5762436328.

The spelling of 199766880 in words is "one hundred ninety-nine million, seven hundred sixty-six thousand, eight hundred eighty".