320880000 has 320 divisors, whose sum is σ = 1223608320. Its totient is φ = 72960000.

The previous prime is 320879987. The next prime is 320880019. The reversal of 320880000 is 88023.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679905 + ... + 1680095.

It is an arithmetic number, because the mean of its divisors is an integer number (3823776).

Almost surely, 2^320880000 is an apocalyptic number.

320880000 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 320880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611804160).

320880000 is an abundant number, since it is smaller than the sum of its proper divisors (902728320).

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

320880000 is an equidigital number, since it uses as much as digits as its factorization.

320880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 320880000 is about 17913.1236806985. The cubic root of 320880000 is about 684.6167959857.

The spelling of 320880000 in words is "three hundred twenty million, eight hundred eighty thousand".