327578880 has 144 divisors (see below), whose sum is σ = 1091986560. Its totient is φ = 83533824.

The previous prime is 327578851. The next prime is 327578887. The reversal of 327578880 is 88875723.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327578887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86466 + ... + 90174.

It is an arithmetic number, because the mean of its divisors is an integer number (7583240).

Almost surely, 2^327578880 is an apocalyptic number.

327578880 is a gapful number since it is divisible by the number (30) 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 327578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545993280).

327578880 is an abundant number, since it is smaller than the sum of its proper divisors (764407680).

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

327578880 is a wasteful number, since it uses less digits than its factorization.

327578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 327578880 is about 18099.1403110756. The cubic root of 327578880 is about 689.3481767056.

The spelling of 327578880 in words is "three hundred twenty-seven million, five hundred seventy-eight thousand, eight hundred eighty".