8265965760 has 1008 divisors, whose sum is σ = 34718707296. Its totient is φ = 1863254016.

The previous prime is 8265965731. The next prime is 8265965779. The reversal of 8265965760 is 675695628.

It is a happy number.

8265965760 is a `hidden beast` number, since 8 + 2 + 65 + 9 + 6 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8265965697 and 8265965706.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 223404462 + ... + 223404498.

It is an arithmetic number, because the mean of its divisors is an integer number (34443162).

Almost surely, 2^8265965760 is an apocalyptic number.

8265965760 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 8265965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359353648).

8265965760 is an abundant number, since it is smaller than the sum of its proper divisors (26452741536).

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

8265965760 is a wasteful number, since it uses less digits than its factorization.

8265965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 8265965760 is about 90917.3567587620. The cubic root of 8265965760 is about 2021.9226343793.

The spelling of 8265965760 in words is "eight billion, two hundred sixty-five million, nine hundred sixty-five thousand, seven hundred sixty".