1320382800 has 180 divisors, whose sum is σ = 4998799104. Its totient is φ = 320083200.

The previous prime is 1320382793. The next prime is 1320382813. The reversal of 1320382800 is 82830231.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22929 + ... + 56271.

Almost surely, 2^1320382800 is an apocalyptic number.

1320382800 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 1320382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499399552).

1320382800 is an abundant number, since it is smaller than the sum of its proper divisors (3678416304).

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

1320382800 is a wasteful number, since it uses less digits than its factorization.

1320382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33378 (or 33364 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1320382800 is about 36337.0719789033. The cubic root of 1320382800 is about 1097.0673398310.

The spelling of 1320382800 in words is "one billion, three hundred twenty million, three hundred eighty-two thousand, eight hundred".