327768840 has 288 divisors, whose sum is σ = 1313259480. Its totient is φ = 70447104.

The previous prime is 327768827. The next prime is 327768841. The reversal of 327768840 is 48867723.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 327682404 + 86436 = 18102^2 + 294^2 .

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

It is not an unprimeable number, because it can be changed into a prime (327768841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299334 + ... + 300426.

Almost surely, 2^327768840 is an apocalyptic number.

327768840 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 327768840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656629740).

327768840 is an abundant number, since it is smaller than the sum of its proper divisors (985490640).

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

327768840 is a wasteful number, since it uses less digits than its factorization.

327768840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1127 counting only the distinct ones).

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

The square root of 327768840 is about 18104.3873135768. The cubic root of 327768840 is about 689.4813998607.

It can be divided in two parts, 32776 and 8840, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 327768840 in words is "three hundred twenty-seven million, seven hundred sixty-eight thousand, eight hundred forty".