8085882240 has 512 divisors, whose sum is σ = 29888611200. Its totient is φ = 2064384000.

The previous prime is 8085882229. The next prime is 8085882257. The reversal of 8085882240 is 422885808.

8085882240 is a `hidden beast` number, since 8 + 0 + 8 + 588 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 71556424 + ... + 71556536.

Almost surely, 2^8085882240 is an apocalyptic number.

8085882240 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 8085882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944305600).

8085882240 is an abundant number, since it is smaller than the sum of its proper divisors (21802728960).

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

8085882240 is a wasteful number, since it uses less digits than its factorization.

8085882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 8085882240 is about 89921.5337947480. The cubic root of 8085882240 is about 2007.1313947147.

The spelling of 8085882240 in words is "eight billion, eighty-five million, eight hundred eighty-two thousand, two hundred forty".