8011205760 has 128 divisors (see below), whose sum is σ = 25579152000. Its totient is φ = 2132688896.

The previous prime is 8011205759. The next prime is 8011205767. The reversal of 8011205760 is 675021108.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8011205767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239016 + ... + 1245464.

It is an arithmetic number, because the mean of its divisors is an integer number (199837125).

Almost surely, 2^8011205760 is an apocalyptic number.

8011205760 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 8011205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789576000).

8011205760 is an abundant number, since it is smaller than the sum of its proper divisors (17567946240).

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

8011205760 is a wasteful number, since it uses less digits than its factorization.

8011205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7118 (or 7106 counting only the distinct ones).

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

The square root of 8011205760 is about 89505.3392820786. The cubic root of 8011205760 is about 2000.9333776686.

Adding to 8011205760 its reverse (675021108), we get a palindrome (8686226868).

The spelling of 8011205760 in words is "eight billion, eleven million, two hundred five thousand, seven hundred sixty".