805086864 has 200 divisors, whose sum is σ = 2491864320. Its totient is φ = 250387200.

The previous prime is 805086853. The next prime is 805086869. The reversal of 805086864 is 468680508.

805086864 is a `hidden beast` number, since 80 + 508 + 6 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (805086869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1164759 + ... + 1165449.

Almost surely, 2^805086864 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 805086864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245932160).

805086864 is an abundant number, since it is smaller than the sum of its proper divisors (1686777456).

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

805086864 is a wasteful number, since it uses less digits than its factorization.

805086864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 805086864 is about 28374.0526537892. The cubic root of 805086864 is about 930.2812052856.

The spelling of 805086864 in words is "eight hundred five million, eighty-six thousand, eight hundred sixty-four".