320001300 has 144 divisors (see below), whose sum is σ = 1073681280. Its totient is φ = 81607680.

The previous prime is 320001299. The next prime is 320001301. The reversal of 320001300 is 3100023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320001299) and next prime (320001301).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320001301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59524 + ... + 64676.

It is an arithmetic number, because the mean of its divisors is an integer number (7456120).

Almost surely, 2^320001300 is an apocalyptic number.

320001300 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 320001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536840640).

320001300 is an abundant number, since it is smaller than the sum of its proper divisors (753679980).

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

320001300 is a wasteful number, since it uses less digits than its factorization.

320001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 320001300 is about 17888.5801560660. The cubic root of 320001300 is about 683.9913049064.

Adding to 320001300 its reverse (3100023), we get a palindrome (323101323).

The spelling of 320001300 in words is "three hundred twenty million, one thousand, three hundred".