9783808320 has 896 divisors, whose sum is σ = 39981957120. Its totient is φ = 2007244800.

The previous prime is 9783808319. The next prime is 9783808343. The reversal of 9783808320 is 238083879.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9783808320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315606705 + ... + 315606735.

It is an arithmetic number, because the mean of its divisors is an integer number (44622720).

Almost surely, 2^9783808320 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 9783808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19990978560).

9783808320 is an abundant number, since it is smaller than the sum of its proper divisors (30198148800).

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

9783808320 is a wasteful number, since it uses less digits than its factorization.

9783808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 9783808320 is about 98913.1352248022. The cubic root of 9783808320 is about 2138.7957471761.

The spelling of 9783808320 in words is "nine billion, seven hundred eighty-three million, eight hundred eight thousand, three hundred twenty".