1327876480 has 256 divisors, whose sum is σ = 3877632000. Its totient is φ = 433821696.

The previous prime is 1327876463. The next prime is 1327876493. The reversal of 1327876480 is 846787231.

It is a super-2 number, since 2×1327876480² = 3526511892274380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 1327876480.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5048829 + ... + 5049091.

It is an arithmetic number, because the mean of its divisors is an integer number (15147000).

Almost surely, 2^1327876480 is an apocalyptic number.

1327876480 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 1327876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938816000).

1327876480 is an abundant number, since it is smaller than the sum of its proper divisors (2549755520).

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

1327876480 is an equidigital number, since it uses as much as digits as its factorization.

1327876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 1327876480 is about 36440.0395169928. The cubic root of 1327876480 is about 1099.1388521871.

The spelling of 1327876480 in words is "one billion, three hundred twenty-seven million, eight hundred seventy-six thousand, four hundred eighty".