805306320 has 640 divisors, whose sum is σ = 3629767680. Its totient is φ = 159252480.

The previous prime is 805306309. The next prime is 805306331. The reversal of 805306320 is 23603508.

It is an interprime number because it is at equal distance from previous prime (805306309) and next prime (805306331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3341400 + ... + 3341640.

It is an arithmetic number, because the mean of its divisors is an integer number (5671512).

Almost surely, 2^805306320 is an apocalyptic number.

805306320 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 805306320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814883840).

805306320 is an abundant number, since it is smaller than the sum of its proper divisors (2824461360).

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

805306320 is a wasteful number, since it uses less digits than its factorization.

805306320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 805306320 is about 28377.9195854805. The cubic root of 805306320 is about 930.3657250453.

Adding to 805306320 its reverse (23603508), we get a palindrome (828909828).

The spelling of 805306320 in words is "eight hundred five million, three hundred six thousand, three hundred twenty".