805858560 has 216 divisors, whose sum is σ = 3003220584. Its totient is φ = 198328320.

The previous prime is 805858541. The next prime is 805858579. The reversal of 805858560 is 65858508.

805858560 is a `hidden beast` number, since 8 + 0 + 5 + 8 + 585 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (805858541) and next prime (805858579).

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 804743424 = 1056^2 + 28368^2 .

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 23 ways as a sum of consecutive naturals, for example, 147070 + ... + 152450.

It is an arithmetic number, because the mean of its divisors is an integer number (13903799).

Almost surely, 2^805858560 is an apocalyptic number.

805858560 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 805858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501610292).

805858560 is an abundant number, since it is smaller than the sum of its proper divisors (2197362024).

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

805858560 is a wasteful number, since it uses less digits than its factorization.

805858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 805858560 is about 28387.6480181082. The cubic root of 805858560 is about 930.5783430090.

The spelling of 805858560 in words is "eight hundred five million, eight hundred fifty-eight thousand, five hundred sixty".