805806300 has 144 divisors (see below), whose sum is σ = 2535587712. Its totient is φ = 196396800.

The previous prime is 805806299. The next prime is 805806301. The reversal of 805806300 is 3608508.

It is an interprime number because it is at equal distance from previous prime (805806299) and next prime (805806301).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805806301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416335 + ... + 418265.

It is an arithmetic number, because the mean of its divisors is an integer number (17608248).

Almost surely, 2^805806300 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 805806300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267793856).

805806300 is an abundant number, since it is smaller than the sum of its proper divisors (1729781412).

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

805806300 is a wasteful number, since it uses less digits than its factorization.

805806300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 805806300 is about 28386.7275324226. The cubic root of 805806300 is about 930.5582265445.

The spelling of 805806300 in words is "eight hundred five million, eight hundred six thousand, three hundred".