8005205772 has 36 divisors (see below), whose sum is σ = 20238164856. Its totient is φ = 2668034880.

The previous prime is 8005205759. The next prime is 8005205773. The reversal of 8005205772 is 2775025008.

8005205772 is a `hidden beast` number, since 80 + 0 + 5 + 2 + 0 + 577 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (8005205773) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 418947 + ... + 437637.

It is an arithmetic number, because the mean of its divisors is an integer number (562171246).

Almost surely, 2^8005205772 is an apocalyptic number.

It is an amenable number.

8005205772 is an abundant number, since it is smaller than the sum of its proper divisors (12232959084).

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

8005205772 is a wasteful number, since it uses less digits than its factorization.

8005205772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30598 (or 30593 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 8005205772 is about 89471.8155175137. The cubic root of 8005205772 is about 2000.4337202699.

The spelling of 8005205772 in words is "eight billion, five million, two hundred five thousand, seven hundred seventy-two".