200270880 has 336 divisors, whose sum is σ = 758550744. Its totient is φ = 49766400.

The previous prime is 200270857. The next prime is 200270891. The reversal of 200270880 is 88072002.

It can be written as a sum of positive squares in 4 ways, for example, as 200165904 + 104976 = 14148^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1982830 + ... + 1982930.

Almost surely, 2^200270880 is an apocalyptic number.

200270880 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 200270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379275372).

200270880 is an abundant number, since it is smaller than the sum of its proper divisors (558279864).

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

200270880 is a wasteful number, since it uses less digits than its factorization.

200270880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 200270880 is about 14151.7094373789. The cubic root of 200270880 is about 585.0674478446.

The spelling of 200270880 in words is "two hundred million, two hundred seventy thousand, eight hundred eighty".