8100785736 has 192 divisors, whose sum is σ = 24614366400. Its totient is φ = 2391773184.

The previous prime is 8100785701. The next prime is 8100785767. The reversal of 8100785736 is 6375870018.

8100785736 is a `hidden beast` number, since 8 + 1 + 0 + 0 + 78 + 573 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8100785691 and 8100785700.

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, 3789660 + ... + 3791796.

It is an arithmetic number, because the mean of its divisors is an integer number (128199825).

Almost surely, 2^8100785736 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 8100785736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307183200).

8100785736 is an abundant number, since it is smaller than the sum of its proper divisors (16513580664).

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

8100785736 is a wasteful number, since it uses less digits than its factorization.

8100785736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 8100785736 is about 90004.3650941442. The cubic root of 8100785736 is about 2008.3637861183.

The spelling of 8100785736 in words is "eight billion, one hundred million, seven hundred eighty-five thousand, seven hundred thirty-six".