1327420800 has 144 divisors (see below), whose sum is σ = 4736644380. Its totient is φ = 353971200.

The previous prime is 1327420789. The next prime is 1327420819. The reversal of 1327420800 is 80247231.

1327420800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5755 + ... + 51845.

Almost surely, 2^1327420800 is an apocalyptic number.

1327420800 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 1327420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368322190).

1327420800 is an abundant number, since it is smaller than the sum of its proper divisors (3409223580).

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

1327420800 is a wasteful number, since it uses less digits than its factorization.

1327420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46121 (or 46101 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1327420800 is about 36433.7865174621. The cubic root of 1327420800 is about 1099.0131093432.

The spelling of 1327420800 in words is "one billion, three hundred twenty-seven million, four hundred twenty thousand, eight hundred".