199977120 has 384 divisors, whose sum is σ = 849139200. Its totient is φ = 42909696.

The previous prime is 199977091. The next prime is 199977163. The reversal of 199977120 is 21779991.

199977120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 778 × 378 × 680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513886 + ... + 514274.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^199977120 is an apocalyptic number.

199977120 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 199977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

199977120 is an abundant number, since it is smaller than the sum of its proper divisors (649162080).

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

199977120 is a wasteful number, since it uses less digits than its factorization.

199977120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 199977120 is about 14141.3266704365. The cubic root of 199977120 is about 584.7812462835.

The spelling of 199977120 in words is "one hundred ninety-nine million, nine hundred seventy-seven thousand, one hundred twenty".