1327782400 has 360 divisors, whose sum is σ = 4012963020. Its totient is φ = 433520640.

The previous prime is 1327782397. The next prime is 1327782413. The reversal of 1327782400 is 42877231.

It can be written as a sum of positive squares in 6 ways, for example, as 537497856 + 790284544 = 23184^2 + 28112^2 .

It is a super-2 number, since 2×1327782400² = 3526012203499520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18188764 + ... + 18188836.

Almost surely, 2^1327782400 is an apocalyptic number.

1327782400 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 1327782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006481510).

1327782400 is an abundant number, since it is smaller than the sum of its proper divisors (2685180620).

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

1327782400 is an equidigital number, since it uses as much as digits as its factorization.

1327782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 1327782400 is about 36438.7486063943. The cubic root of 1327782400 is about 1099.1128935916.

The spelling of 1327782400 in words is "one billion, three hundred twenty-seven million, seven hundred eighty-two thousand, four hundred".