8220759012 has 144 divisors (see below), whose sum is σ = 22273392960. Its totient is φ = 2649220992.

The previous prime is 8220759011. The next prime is 8220759047. The reversal of 8220759012 is 2109570228.

It is a super-2 number, since 2×8220759012² (a number of 21 digits) contains 22 as substring.

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 (8220759011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6436918 + ... + 6438194.

It is an arithmetic number, because the mean of its divisors is an integer number (154676340).

Almost surely, 2^8220759012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220759012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136696480).

8220759012 is an abundant number, since it is smaller than the sum of its proper divisors (14052633948).

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

8220759012 is a wasteful number, since it uses less digits than its factorization.

8220759012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 8220759012 is about 90668.4013976203. The cubic root of 8220759012 is about 2018.2299145786.

The spelling of 8220759012 in words is "eight billion, two hundred twenty million, seven hundred fifty-nine thousand, twelve".