327768120 has 96 divisors (see below), whose sum is σ = 1104732720. Its totient is φ = 87402240.

The previous prime is 327768113. The next prime is 327768127. The reversal of 327768120 is 21867723.

It is an interprime number because it is at equal distance from previous prime (327768113) and next prime (327768127).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327768127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7141 + ... + 26580.

Almost surely, 2^327768120 is an apocalyptic number.

327768120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

327768120 is an abundant number, since it is smaller than the sum of its proper divisors (776964600).

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

327768120 is a wasteful number, since it uses less digits than its factorization.

327768120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33747 (or 33731 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 327768120 is about 18104.3674288830. The cubic root of 327768120 is about 689.4808950059.

The spelling of 327768120 in words is "three hundred twenty-seven million, seven hundred sixty-eight thousand, one hundred twenty".