805204512 has 144 divisors (see below), whose sum is σ = 2627456832. Its totient is φ = 229132800.

The previous prime is 805204501. The next prime is 805204513. The reversal of 805204512 is 215402508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×805204512² = 1296708612290316288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (805204513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618262 + ... + 619562.

It is an arithmetic number, because the mean of its divisors is an integer number (18246228).

Almost surely, 2^805204512 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 805204512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313728416).

805204512 is an abundant number, since it is smaller than the sum of its proper divisors (1822252320).

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

805204512 is a wasteful number, since it uses less digits than its factorization.

805204512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 805204512 is about 28376.1257397834. The cubic root of 805204512 is about 930.3265173289.

The spelling of 805204512 in words is "eight hundred five million, two hundred four thousand, five hundred twelve".