203880320 has 128 divisors (see below), whose sum is σ = 590016960. Its totient is φ = 65765376.

The previous prime is 203880311. The next prime is 203880343. The reversal of 203880320 is 23088302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 203880320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74822 + ... + 77498.

Almost surely, 2^203880320 is an apocalyptic number.

203880320 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 203880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295008480).

203880320 is an abundant number, since it is smaller than the sum of its proper divisors (386136640).

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

203880320 is a wasteful number, since it uses less digits than its factorization.

203880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 203880320 is about 14278.6666044137. Note that the first 4 decimals coincide. The cubic root of 203880320 is about 588.5613902026.

The spelling of 203880320 in words is "two hundred three million, eight hundred eighty thousand, three hundred twenty".