320768500 has 96 divisors (see below), whose sum is σ = 767763360. Its totient is φ = 116352000.

The previous prime is 320768473. The next prime is 320768521. The reversal of 320768500 is 5867023.

It can be written as a sum of positive squares in 16 ways, for example, as 294328336 + 26440164 = 17156^2 + 5142^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396096 + ... + 396904.

It is an arithmetic number, because the mean of its divisors is an integer number (7997535).

Almost surely, 2^320768500 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 320768500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680).

320768500 is an abundant number, since it is smaller than the sum of its proper divisors (446994860).

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

320768500 is a wasteful number, since it uses less digits than its factorization.

320768500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 320768500 is about 17910.0111669424. The cubic root of 320768500 is about 684.5374894785.

The spelling of 320768500 in words is "three hundred twenty million, seven hundred sixty-eight thousand, five hundred".