199977000 has 128 divisors (see below), whose sum is σ = 628992000. Its totient is φ = 52896000.

The previous prime is 199976983. The next prime is 199977017. The reversal of 199977000 is 779991.

199977000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199976983) and next prime (199977017).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572826 + ... + 573174.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^199977000 is an apocalyptic number.

199977000 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 199977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

199977000 is an abundant number, since it is smaller than the sum of its proper divisors (429015000).

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

199977000 is a wasteful number, since it uses less digits than its factorization.

With its successor (199977001) it forms an eRAP, since the sums of their prime factors are consecutive (564 and 565).

199977000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 35721, while the sum is 42.

The square root of 199977000 is about 14141.3224275525. The cubic root of 199977000 is about 584.7811293139.

The spelling of 199977000 in words is "one hundred ninety-nine million, nine hundred seventy-seven thousand".