8005578282 has 48 divisors (see below), whose sum is σ = 18701367048. Its totient is φ = 2460395520.

The previous prime is 8005578271. The next prime is 8005578293. The reversal of 8005578282 is 2828755008.

It is an interprime number because it is at equal distance from previous prime (8005578271) and next prime (8005578293).

It can be written as a sum of positive squares in 4 ways, for example, as 2923456761 + 5082121521 = 54069^2 + 71289^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186738 + ... + 225570.

Almost surely, 2^8005578282 is an apocalyptic number.

8005578282 is an abundant number, since it is smaller than the sum of its proper divisors (10695788766).

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

8005578282 is a wasteful number, since it uses less digits than its factorization.

8005578282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39735 (or 39732 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 8005578282 is about 89473.8972103037. The cubic root of 8005578282 is about 2000.4647488292.

The spelling of 8005578282 in words is "eight billion, five million, five hundred seventy-eight thousand, two hundred eighty-two".