720320328 has 384 divisors, whose sum is σ = 2641766400. Its totient is φ = 171859968.

The previous prime is 720320323. The next prime is 720320333. The reversal of 720320328 is 823023027.

It is an interprime number because it is at equal distance from previous prime (720320323) and next prime (720320333).

It is a super-2 number, since 2×720320328² = 1037722749860055168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (720320323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3230025 + ... + 3230247.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^720320328 is an apocalyptic number.

720320328 is a gapful number since it is divisible by the number (78) 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 720320328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

720320328 is an abundant number, since it is smaller than the sum of its proper divisors (1921446072).

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

720320328 is a wasteful number, since it uses less digits than its factorization.

720320328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 720320328 is about 26838.7840261067. The cubic root of 720320328 is about 896.4138480693.

The spelling of 720320328 in words is "seven hundred twenty million, three hundred twenty thousand, three hundred twenty-eight".