800234656 has 48 divisors (see below), whose sum is σ = 1699864488. Its totient is φ = 368640000.

The previous prime is 800234629. The next prime is 800234657. The reversal of 800234656 is 656432008.

It is a happy number.

800234656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 713744656 + 86490000 = 26716^2 + 9300^2 .

It is not an unprimeable number, because it can be changed into a prime (800234657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265156 + ... + 268156.

Almost surely, 2^800234656 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 800234656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849932244).

800234656 is an abundant number, since it is smaller than the sum of its proper divisors (899629832).

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

800234656 is a wasteful number, since it uses less digits than its factorization.

800234656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 800234656 is about 28288.4191145423. The cubic root of 800234656 is about 928.4085225721.

The spelling of 800234656 in words is "eight hundred million, two hundred thirty-four thousand, six hundred fifty-six".