8005384701 has 12 divisors (see below), whose sum is σ = 11581214112. Its totient is φ = 5328670536.

The previous prime is 8005384649. The next prime is 8005384729. The reversal of 8005384701 is 1074835008.

8005384701 is a `hidden beast` number, since 80 + 0 + 538 + 47 + 0 + 1 = 666.

It is not a de Polignac number, because 8005384701 - 2⁶ = 8005384637 is a prime.

It is a super-2 number, since 2×8005384701² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005384801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681571 + ... + 693216.

It is an arithmetic number, because the mean of its divisors is an integer number (965101176).

Almost surely, 2^8005384701 is an apocalyptic number.

It is an amenable number.

8005384701 is a deficient number, since it is larger than the sum of its proper divisors (3575829411).

8005384701 is a wasteful number, since it uses less digits than its factorization.

8005384701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375440 (or 1375437 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8005384701 is about 89472.8154301629. The cubic root of 8005384701 is about 2000.4486244439.

The spelling of 8005384701 in words is "eight billion, five million, three hundred eighty-four thousand, seven hundred one".