1327393280 has 160 divisors (see below), whose sum is σ = 3305681280. Its totient is φ = 510935040.

The previous prime is 1327393279. The next prime is 1327393339. The reversal of 1327393280 is 823937231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12177866 + ... + 12177974.

It is an arithmetic number, because the mean of its divisors is an integer number (20660508).

Almost surely, 2^1327393280 is an apocalyptic number.

1327393280 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 1327393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652840640).

1327393280 is an abundant number, since it is smaller than the sum of its proper divisors (1978288000).

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

1327393280 is an equidigital number, since it uses as much as digits as its factorization.

1327393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 1327393280 is about 36433.4088440816. The cubic root of 1327393280 is about 1099.0055144017.

The spelling of 1327393280 in words is "one billion, three hundred twenty-seven million, three hundred ninety-three thousand, two hundred eighty".