7085182320 has 320 divisors, whose sum is σ = 25206958080. Its totient is φ = 1828224000.

The previous prime is 7085182319. The next prime is 7085182331. The reversal of 7085182320 is 232815807.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10253175 + ... + 10253865.

It is an arithmetic number, because the mean of its divisors is an integer number (78771744).

Almost surely, 2^7085182320 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 7085182320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603479040).

7085182320 is an abundant number, since it is smaller than the sum of its proper divisors (18121775760).

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

7085182320 is a wasteful number, since it uses less digits than its factorization.

7085182320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7085182320 is about 84173.5250539028. The cubic root of 7085182320 is about 1920.6593438625.

The spelling of 7085182320 in words is "seven billion, eighty-five million, one hundred eighty-two thousand, three hundred twenty".