1330336800 has 432 divisors, whose sum is σ = 5156810568. Its totient is φ = 320716800.

The previous prime is 1330336789. The next prime is 1330336817. The reversal of 1330336800 is 86330331.

It can be written as a sum of positive squares in 12 ways, for example, as 207014544 + 1123322256 = 14388^2 + 33516^2 .

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 71 ways as a sum of consecutive naturals, for example, 5709484 + ... + 5709716.

Almost surely, 2^1330336800 is an apocalyptic number.

1330336800 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 1330336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578405284).

1330336800 is an abundant number, since it is smaller than the sum of its proper divisors (3826473768).

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

1330336800 is a wasteful number, since it uses less digits than its factorization.

1330336800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1330336800 is about 36473.7823648713. The cubic root of 1330336800 is about 1099.8172699224.

The spelling of 1330336800 in words is "one billion, three hundred thirty million, three hundred thirty-six thousand, eight hundred".