8282705760 has 192 divisors, whose sum is σ = 33130944000. Its totient is φ = 1893182976.

The previous prime is 8282705759. The next prime is 8282705791. The reversal of 8282705760 is 675072828.

8282705760 is a `hidden beast` number, since 8 + 2 + 8 + 2 + 70 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106710 + ... + 167189.

It is an arithmetic number, because the mean of its divisors is an integer number (172557000).

Almost surely, 2^8282705760 is an apocalyptic number.

8282705760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8282705760 is an abundant number, since it is smaller than the sum of its proper divisors (24848238240).

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

8282705760 is a wasteful number, since it uses less digits than its factorization.

8282705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273930 (or 273916 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 8282705760 is about 91009.3718251038. The cubic root of 8282705760 is about 2023.2866275251.

The spelling of 8282705760 in words is "eight billion, two hundred eighty-two million, seven hundred five thousand, seven hundred sixty".