1801336320 has 800 divisors, whose sum is σ = 7914189888. Its totient is φ = 382205952.

The previous prime is 1801336319. The next prime is 1801336367. The reversal of 1801336320 is 236331081.

It is a happy number.

1801336320 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 336 + 320 = 666.

It is a super-2 number, since 2×1801336320² = 6489625075502284800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24675804 + ... + 24675876.

Almost surely, 2^1801336320 is an apocalyptic number.

1801336320 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 1801336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957094944).

1801336320 is an abundant number, since it is smaller than the sum of its proper divisors (6112853568).

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

1801336320 is an equidigital number, since it uses as much as digits as its factorization.

1801336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1801336320 is about 42442.1526315525. The cubic root of 1801336320 is about 1216.7413531016.

The spelling of 1801336320 in words is "one billion, eight hundred one million, three hundred thirty-six thousand, three hundred twenty".