8005203360 has 1152 divisors, whose sum is σ = 36863963136. Its totient is φ = 1532805120.

The previous prime is 8005203359. The next prime is 8005203361. The reversal of 8005203360 is 633025008.

8005203360 is a `hidden beast` number, since 80 + 0 + 520 + 3 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (8005203359) and next prime (8005203361).

It is a super-4 number, since 4×8005203360⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (8005203361) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 109660284 + ... + 109660356.

It is an arithmetic number, because the mean of its divisors is an integer number (31999968).

Almost surely, 2^8005203360 is an apocalyptic number.

8005203360 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 8005203360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431981568).

8005203360 is an abundant number, since it is smaller than the sum of its proper divisors (28858759776).

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

8005203360 is a wasteful number, since it uses less digits than its factorization.

8005203360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 8005203360 is about 89471.8020384076. The cubic root of 8005203360 is about 2000.4335193570.

Adding to 8005203360 its reverse (633025008), we get a palindrome (8638228368).

The spelling of 8005203360 in words is "eight billion, five million, two hundred three thousand, three hundred sixty".