200880000 has 400 divisors, whose sum is σ = 771128160. Its totient is φ = 51840000.

The previous prime is 200879983. The next prime is 200880023. The reversal of 200880000 is 88002.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479985 + ... + 6480015.

Almost surely, 2^200880000 is an apocalyptic number.

200880000 is a gapful number since it is divisible by the number (20) 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 200880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385564080).

200880000 is an abundant number, since it is smaller than the sum of its proper divisors (570248160).

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

200880000 is an frugal number, since it uses more digits than its factorization.

200880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 200880000 is about 14173.2141732213. The cubic root of 200880000 is about 585.6600046011.

The spelling of 200880000 in words is "two hundred million, eight hundred eighty thousand".