860800320 has 168 divisors, whose sum is σ = 3116823840. Its totient is φ = 217451520.

The previous prime is 860800319. The next prime is 860800327. The reversal of 860800320 is 23008068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860800327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46855 + ... + 62585.

Almost surely, 2^860800320 is an apocalyptic number.

860800320 is a gapful number since it is divisible by the number (80) 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 860800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558411920).

860800320 is an abundant number, since it is smaller than the sum of its proper divisors (2256023520).

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

860800320 is a wasteful number, since it uses less digits than its factorization.

860800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 860800320 is about 29339.3987668459. The cubic root of 860800320 is about 951.2634417620.

Adding to 860800320 its reverse (23008068), we get a palindrome (883808388).

The spelling of 860800320 in words is "eight hundred sixty million, eight hundred thousand, three hundred twenty".