320842080 has 384 divisors, whose sum is σ = 1257379200. Its totient is φ = 75866112.

The previous prime is 320842079. The next prime is 320842117. The reversal of 320842080 is 80248023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1628542 + ... + 1628738.

It is an arithmetic number, because the mean of its divisors is an integer number (3274425).

Almost surely, 2^320842080 is an apocalyptic number.

320842080 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 320842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628689600).

320842080 is an abundant number, since it is smaller than the sum of its proper divisors (936537120).

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

320842080 is a wasteful number, since it uses less digits than its factorization.

320842080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 320842080 is about 17912.0652075633. The cubic root of 320842080 is about 684.5898267224.

The spelling of 320842080 in words is "three hundred twenty million, eight hundred forty-two thousand, eighty".