200080000 has 160 divisors (see below), whose sum is σ = 518599620. Its totient is φ = 76800000.

The previous prime is 200079977. The next prime is 200080003. The reversal of 200080000 is 80002.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 116467264 + 83612736 = 10792^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 not an unprimeable number, because it can be changed into a prime (200080003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3279970 + ... + 3280030.

Almost surely, 2^200080000 is an apocalyptic number.

200080000 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 200080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259299810).

200080000 is an abundant number, since it is smaller than the sum of its proper divisors (318519620).

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

200080000 is an frugal number, since it uses more digits than its factorization.

200080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 200080000 is about 14144.9637680695. The cubic root of 200080000 is about 584.8815110547.

The spelling of 200080000 in words is "two hundred million, eighty thousand".