805005312804 has 144 divisors (see below), whose sum is σ = 2538032305536. Its totient is φ = 209006092800.

The previous prime is 805005312803. The next prime is 805005312809. The reversal of 805005312804 is 408213500508.

It is a happy number.

805005312804 is a `hidden beast` number, since 80 + 500 + 53 + 1 + 28 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (805005312803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6807624 + ... + 6924864.

It is an arithmetic number, because the mean of its divisors is an integer number (17625224344).

Almost surely, 2^805005312804 is an apocalyptic number.

805005312804 is a gapful number since it is divisible by the number (84) 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 805005312804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269016152768).

805005312804 is an abundant number, since it is smaller than the sum of its proper divisors (1733026992732).

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

805005312804 is a wasteful number, since it uses less digits than its factorization.

805005312804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119746 (or 119741 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 805005312804 in words is "eight hundred five billion, five million, three hundred twelve thousand, eight hundred four".