1322956800 has 720 divisors, whose sum is σ = 5529724200. Its totient is φ = 309657600.

The previous prime is 1322956781. The next prime is 1322956801. The reversal of 1322956800 is 86592231.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322956801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 45619186 + ... + 45619214.

Almost surely, 2^1322956800 is an apocalyptic number.

1322956800 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 1322956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764862100).

1322956800 is an abundant number, since it is smaller than the sum of its proper divisors (4206767400).

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

1322956800 is a wasteful number, since it uses less digits than its factorization.

1322956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1322956800 is about 36372.4731081075. The cubic root of 1322956800 is about 1097.7797641235.

1322956800 divided by its product of nonzero digits (25920) gives a triangular number (51040 = T₃₁₉).

The spelling of 1322956800 in words is "one billion, three hundred twenty-two million, nine hundred fifty-six thousand, eight hundred".