8001520761 has 64 divisors (see below), whose sum is σ = 12590161920. Its totient is φ = 4478664960.

The previous prime is 8001520733. The next prime is 8001520777. The reversal of 8001520761 is 1670251008.

It is not a de Polignac number, because 8001520761 - 2²⁶ = 7934411897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8001520721) 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 63 ways as a sum of consecutive naturals, for example, 1740576 + ... + 1745166.

It is an arithmetic number, because the mean of its divisors is an integer number (196721280).

Almost surely, 2^8001520761 is an apocalyptic number.

It is an amenable number.

8001520761 is a deficient number, since it is larger than the sum of its proper divisors (4588641159).

8001520761 is a wasteful number, since it uses less digits than its factorization.

8001520761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 8001520761 is about 89451.2200084493. The cubic root of 8001520761 is about 2000.1267220539.

Adding to 8001520761 its reverse (1670251008), we get a palindrome (9671771769).

The spelling of 8001520761 in words is "eight billion, one million, five hundred twenty thousand, seven hundred sixty-one".