1327055800 has 96 divisors (see below), whose sum is σ = 3546335520. Its totient is φ = 452390400.

The previous prime is 1327055791. The next prime is 1327055803. The reversal of 1327055800 is 85507231.

It is a super-3 number, since 3×1327055800³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327055803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250782 + ... + 256018.

It is an arithmetic number, because the mean of its divisors is an integer number (36940995).

Almost surely, 2^1327055800 is an apocalyptic number.

1327055800 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 1327055800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773167760).

1327055800 is an abundant number, since it is smaller than the sum of its proper divisors (2219279720).

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

1327055800 is a wasteful number, since it uses less digits than its factorization.

1327055800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 1327055800 is about 36428.7770862542. Note that the first 3 decimals coincide. The cubic root of 1327055800 is about 1098.9123684785.

The spelling of 1327055800 in words is "one billion, three hundred twenty-seven million, fifty-five thousand, eight hundred".