330220800 has 810 divisors, whose sum is σ = 1529575278. Its totient is φ = 69672960.

The previous prime is 330220789. The next prime is 330220831. The reversal of 330220800 is 8022033.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 329204736 = 1008^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25401594 + ... + 25401606.

Almost surely, 2^330220800 is an apocalyptic number.

330220800 is a gapful number since it is divisible by the number (30) 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 330220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764787639).

330220800 is an abundant number, since it is smaller than the sum of its proper divisors (1199354478).

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

330220800 is a wasteful number, since it uses less digits than its factorization.

330220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 330220800 is about 18171.9784283385. The cubic root of 330220800 is about 691.1964120184.

Adding to 330220800 its reverse (8022033), we get a palindrome (338242833).

The spelling of 330220800 in words is "three hundred thirty million, two hundred twenty thousand, eight hundred".