1801208320 has 80 divisors (see below), whose sum is σ = 4328984088. Its totient is φ = 718766080.

The previous prime is 1801208317. The next prime is 1801208329. The reversal of 1801208320 is 238021081.

It can be written as a sum of positive squares in 4 ways, for example, as 1616683264 + 184525056 = 40208^2 + 13584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1801208329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2101332 + ... + 2102188.

Almost surely, 2^1801208320 is an apocalyptic number.

1801208320 is a gapful number since it is divisible by the number (10) 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 1801208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164492044).

1801208320 is an abundant number, since it is smaller than the sum of its proper divisors (2527775768).

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

1801208320 is an frugal number, since it uses more digits than its factorization.

1801208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1801208320 is about 42440.6446699387. The cubic root of 1801208320 is about 1216.7125325384.

The spelling of 1801208320 in words is "one billion, eight hundred one million, two hundred eight thousand, three hundred twenty".