1321708800 has 432 divisors, whose sum is σ = 4726447488. Its totient is φ = 324403200.

The previous prime is 1321708781. The next prime is 1321708813. The reversal of 1321708800 is 88071231.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18105564 + ... + 18105636.

Almost surely, 2^1321708800 is an apocalyptic number.

1321708800 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 1321708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363223744).

1321708800 is an abundant number, since it is smaller than the sum of its proper divisors (3404738688).

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

1321708800 is a wasteful number, since it uses less digits than its factorization.

1321708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1321708800 is about 36355.3132292929. The cubic root of 1321708800 is about 1097.4344617994.

The spelling of 1321708800 in words is "one billion, three hundred twenty-one million, seven hundred eight thousand, eight hundred".