201280800 has 144 divisors (see below), whose sum is σ = 748827072. Its totient is φ = 46003200.

The previous prime is 201280789. The next prime is 201280819. The reversal of 201280800 is 8082102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10810 + ... + 22790.

It is an arithmetic number, because the mean of its divisors is an integer number (5200188).

Almost surely, 2^201280800 is an apocalyptic number.

201280800 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 201280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374413536).

201280800 is an abundant number, since it is smaller than the sum of its proper divisors (547546272).

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

201280800 is a wasteful number, since it uses less digits than its factorization.

201280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011 (or 11998 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 201280800 is about 14187.3464749403. The cubic root of 201280800 is about 586.0492528890.

The spelling of 201280800 in words is "two hundred one million, two hundred eighty thousand, eight hundred".