327847680 has 216 divisors, whose sum is σ = 1147910400. Its totient is φ = 86384640.

The previous prime is 327847657. The next prime is 327847721. The reversal of 327847680 is 86748723.

It is a happy number.

327847680 is a `hidden beast` number, since 32 + 78 + 476 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1716385 + ... + 1716575.

It is an arithmetic number, because the mean of its divisors is an integer number (5314400).

Almost surely, 2^327847680 is an apocalyptic number.

327847680 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 327847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573955200).

327847680 is an abundant number, since it is smaller than the sum of its proper divisors (820062720).

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

327847680 is a wasteful number, since it uses less digits than its factorization.

327847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 327847680 is about 18106.5645554313. The cubic root of 327847680 is about 689.5366769840.

The spelling of 327847680 in words is "three hundred twenty-seven million, eight hundred forty-seven thousand, six hundred eighty".