327790080 has 240 divisors, whose sum is σ = 1166269104. Its totient is φ = 85032960.

The previous prime is 327790051. The next prime is 327790117. The reversal of 327790080 is 80097723.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 944467 + ... + 944813.

Almost surely, 2^327790080 is an apocalyptic number.

327790080 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 327790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583134552).

327790080 is an abundant number, since it is smaller than the sum of its proper divisors (838479024).

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

327790080 is a wasteful number, since it uses less digits than its factorization.

327790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 327790080 is about 18104.9739022181. The cubic root of 327790080 is about 689.4962927434.

The spelling of 327790080 in words is "three hundred twenty-seven million, seven hundred ninety thousand, eighty".