800038440 has 144 divisors (see below), whose sum is σ = 2718736020. Its totient is φ = 204019200.

The previous prime is 800038439. The next prime is 800038441. The reversal of 800038440 is 44830008.

It is an interprime number because it is at equal distance from previous prime (800038439) and next prime (800038441).

It can be written as a sum of positive squares in 2 ways, for example, as 709369956 + 90668484 = 26634^2 + 9522^2 .

It is not an unprimeable number, because it can be changed into a prime (800038441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188340 + ... + 192540.

Almost surely, 2^800038440 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 800038440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359368010).

800038440 is an abundant number, since it is smaller than the sum of its proper divisors (1918697580).

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

800038440 is a wasteful number, since it uses less digits than its factorization.

800038440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 800038440 is about 28284.9507689160. The cubic root of 800038440 is about 928.3326350406.

Adding to 800038440 its reverse (44830008), we get a palindrome (844868448).

The spelling of 800038440 in words is "eight hundred million, thirty-eight thousand, four hundred forty".