1327803840 has 280 divisors, whose sum is σ = 5153722992. Its totient is φ = 321822720.

The previous prime is 1327803787. The next prime is 1327803931. The reversal of 1327803840 is 483087231.

1327803840 is a `hidden beast` number, since 1 + 3 + 278 + 0 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1327803795 and 1327803804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 282792 + ... + 287448.

Almost surely, 2^1327803840 is an apocalyptic number.

1327803840 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 1327803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576861496).

1327803840 is an abundant number, since it is smaller than the sum of its proper divisors (3825919152).

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

1327803840 is a wasteful number, since it uses less digits than its factorization.

1327803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1327803840 is about 36439.0427975269. The cubic root of 1327803840 is about 1099.1188094338.

The spelling of 1327803840 in words is "one billion, three hundred twenty-seven million, eight hundred three thousand, eight hundred forty".