800441328 has 80 divisors (see below), whose sum is σ = 2260141056. Its totient is φ = 243010560.

The previous prime is 800441321. The next prime is 800441357. The reversal of 800441328 is 823144008.

It is a junction number, because it is equal to n+sod(n) for n = 800441295 and 800441304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800441321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9475 + ... + 41117.

Almost surely, 2^800441328 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 800441328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130070528).

800441328 is an abundant number, since it is smaller than the sum of its proper divisors (1459699728).

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

800441328 is a wasteful number, since it uses less digits than its factorization.

800441328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31702 (or 31696 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 800441328 is about 28292.0718223321. The cubic root of 800441328 is about 928.4884406015.

The spelling of 800441328 in words is "eight hundred million, four hundred forty-one thousand, three hundred twenty-eight".