805870560 has 384 divisors, whose sum is σ = 3026419200. Its totient is φ = 178053120.

The previous prime is 805870553. The next prime is 805870577. The reversal of 805870560 is 65078508.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2909142 + ... + 2909418.

It is an arithmetic number, because the mean of its divisors is an integer number (7881300).

Almost surely, 2^805870560 is an apocalyptic number.

805870560 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 805870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513209600).

805870560 is an abundant number, since it is smaller than the sum of its proper divisors (2220548640).

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

805870560 is a wasteful number, since it uses less digits than its factorization.

805870560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 805870560 is about 28387.8593768533. The cubic root of 805870560 is about 930.5829620515.

The spelling of 805870560 in words is "eight hundred five million, eight hundred seventy thousand, five hundred sixty".