327120000 has 320 divisors, whose sum is σ = 1147132800. Its totient is φ = 82432000.

The previous prime is 327119977. The next prime is 327120037. The reversal of 327120000 is 21723.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 6959977 + ... + 6960023.

It is an arithmetic number, because the mean of its divisors is an integer number (3584790).

Almost surely, 2^327120000 is an apocalyptic number.

327120000 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 327120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573566400).

327120000 is an abundant number, since it is smaller than the sum of its proper divisors (820012800).

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

327120000 is an equidigital number, since it uses as much as digits as its factorization.

327120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 327120000 is about 18086.4590232583. The cubic root of 327120000 is about 689.0261413809.

Adding to 327120000 its reverse (21723), we get a palindrome (327141723).

The spelling of 327120000 in words is "three hundred twenty-seven million, one hundred twenty thousand".