320382720 has 432 divisors, whose sum is σ = 1320096960. Its totient is φ = 70189056.

The previous prime is 320382703. The next prime is 320382757. The reversal of 320382720 is 27283023.

320382720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338492 + ... + 2338628.

It is an arithmetic number, because the mean of its divisors is an integer number (3055780).

Almost surely, 2^320382720 is an apocalyptic number.

320382720 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 320382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660048480).

320382720 is an abundant number, since it is smaller than the sum of its proper divisors (999714240).

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

320382720 is a wasteful number, since it uses less digits than its factorization.

320382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 320382720 is about 17899.2379726065. The cubic root of 320382720 is about 684.2629541971.

The spelling of 320382720 in words is "three hundred twenty million, three hundred eighty-two thousand, seven hundred twenty".