320800000 has 108 divisors (see below), whose sum is σ = 802378332. Its totient is φ = 128000000.

The previous prime is 320799967. The next prime is 320800057. The reversal of 320800000 is 8023.

It can be written as a sum of positive squares in 6 ways, for example, as 164249856 + 156550144 = 12816^2 + 12512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799800 + ... + 800200.

It is an arithmetic number, because the mean of its divisors is an integer number (7429429).

Almost surely, 2^320800000 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 320800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401189166).

320800000 is an abundant number, since it is smaller than the sum of its proper divisors (481578332).

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

320800000 is an frugal number, since it uses more digits than its factorization.

320800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 320800000 is about 17910.8905417905. The cubic root of 320800000 is about 684.5598963182.

Adding to 320800000 its reverse (8023), we get a palindrome (320808023).

It can be divided in two parts, 320 and 800000, that multiplied together give a square (256000000 = 16000²).

The spelling of 320800000 in words is "three hundred twenty million, eight hundred thousand".