805268224 has 72 divisors (see below), whose sum is σ = 1657700352. Its totient is φ = 390190080.

The previous prime is 805268213. The next prime is 805268237. The reversal of 805268224 is 422862508.

It is a super-2 number, since 2×805268224² = 1296913825168228352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2102337 + ... + 2102719.

It is an arithmetic number, because the mean of its divisors is an integer number (23023616).

Almost surely, 2^805268224 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 805268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828850176).

805268224 is an abundant number, since it is smaller than the sum of its proper divisors (852432128).

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

805268224 is a wasteful number, since it uses less digits than its factorization.

805268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 805268224 is about 28377.2483514523. The cubic root of 805268224 is about 930.3510541180.

The spelling of 805268224 in words is "eight hundred five million, two hundred sixty-eight thousand, two hundred twenty-four".