1327140800 has 42 divisors (see below), whose sum is σ = 3265599768. Its totient is φ = 530855680.

The previous prime is 1327140799. The next prime is 1327140809. The reversal of 1327140800 is 80417231.

It is a super-2 number, since 2×1327140800² = 3522605406049280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1327140800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327140809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413132 + ... + 416331.

Almost surely, 2^1327140800 is an apocalyptic number.

1327140800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327140800 is an abundant number, since it is smaller than the sum of its proper divisors (1938458968).

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

1327140800 is an equidigital number, since it uses as much as digits as its factorization.

1327140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829485 (or 829470 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1327140800 is about 36429.9437276535. The cubic root of 1327140800 is about 1098.9358303297.

The spelling of 1327140800 in words is "one billion, three hundred twenty-seven million, one hundred forty thousand, eight hundred".