8279069760 has 336 divisors, whose sum is σ = 30799497456. Its totient is φ = 2029142016.

The previous prime is 8279069737. The next prime is 8279069789. The reversal of 8279069760 is 679609728.

It can be written as a sum of positive squares in 8 ways, for example, as 1387413504 + 6891656256 = 37248^2 + 83016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8279069697 and 8279069706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14863402 + ... + 14863958.

It is an arithmetic number, because the mean of its divisors is an integer number (91665171).

Almost surely, 2^8279069760 is an apocalyptic number.

8279069760 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 8279069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399748728).

8279069760 is an abundant number, since it is smaller than the sum of its proper divisors (22520427696).

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

8279069760 is a wasteful number, since it uses less digits than its factorization.

8279069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 8279069760 is about 90989.3936676138. The cubic root of 8279069760 is about 2022.9905186951.

The spelling of 8279069760 in words is "eight billion, two hundred seventy-nine million, sixty-nine thousand, seven hundred sixty".