800920224 has 336 divisors, whose sum is σ = 2699272800. Its totient is φ = 231787008.

The previous prime is 800920217. The next prime is 800920261. The reversal of 800920224 is 422029008.

800920224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5761947 + ... + 5762085.

It is an arithmetic number, because the mean of its divisors is an integer number (8033550).

Almost surely, 2^800920224 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 800920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349636400).

800920224 is an abundant number, since it is smaller than the sum of its proper divisors (1898352576).

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

800920224 is a wasteful number, since it uses less digits than its factorization.

800920224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 800920224 is about 28300.5339878950. The cubic root of 800920224 is about 928.6735721190.

The spelling of 800920224 in words is "eight hundred million, nine hundred twenty thousand, two hundred twenty-four".