320256784 has 80 divisors (see below), whose sum is σ = 679956480. Its totient is φ = 145664640.

The previous prime is 320256763. The next prime is 320256787. The reversal of 320256784 is 487652023.

It is not an unprimeable number, because it can be changed into a prime (320256787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764127 + ... + 764545.

It is an arithmetic number, because the mean of its divisors is an integer number (8499456).

Almost surely, 2^320256784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320256784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339978240).

320256784 is an abundant number, since it is smaller than the sum of its proper divisors (359699696).

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

320256784 is a wasteful number, since it uses less digits than its factorization.

320256784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 320256784 is about 17895.7197117076. The cubic root of 320256784 is about 684.1732857813.

It can be divided in two parts, 32025 and 6784, that added together give a square (38809 = 197²).

The spelling of 320256784 in words is "three hundred twenty million, two hundred fifty-six thousand, seven hundred eighty-four".