320320000 has 400 divisors, whose sum is σ = 1073806272. Its totient is φ = 92160000.

The previous prime is 320319973. The next prime is 320320037. The reversal of 320320000 is 23023.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 39 ways as a sum of consecutive naturals, for example, 24639994 + ... + 24640006.

Almost surely, 2^320320000 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 320320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536903136).

320320000 is an abundant number, since it is smaller than the sum of its proper divisors (753486272).

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

320320000 is an equidigital number, since it uses as much as digits as its factorization.

320320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 320320000 is about 17897.4858569577. The cubic root of 320320000 is about 684.2182995068.

Adding to 320320000 its reverse (23023), we get a palindrome (320343023).

It can be divided in two parts, 320 and 320000, that multiplied together give a 5-th power (102400000 = 40⁵).

The spelling of 320320000 in words is "three hundred twenty million, three hundred twenty thousand".