327765480 has 256 divisors, whose sum is σ = 1192181760. Its totient is φ = 70502400.

The previous prime is 327765469. The next prime is 327765481. The reversal of 327765480 is 84567723.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (327765481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1067487 + ... + 1067793.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2^327765480 is an apocalyptic number.

327765480 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 327765480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596090880).

327765480 is an abundant number, since it is smaller than the sum of its proper divisors (864416280).

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

327765480 is a wasteful number, since it uses less digits than its factorization.

327765480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 327765480 is about 18104.2945181523. The cubic root of 327765480 is about 689.4790438655.

The spelling of 327765480 in words is "three hundred twenty-seven million, seven hundred sixty-five thousand, four hundred eighty".