801105318 has 96 divisors (see below), whose sum is σ = 1992646656. Its totient is φ = 230687424.

The previous prime is 801105313. The next prime is 801105337. The reversal of 801105318 is 813501108.

It is a super-2 number, since 2×801105318² = 1283539461055762248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 801105291 and 801105300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801105311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251371 + ... + 254537.

It is an arithmetic number, because the mean of its divisors is an integer number (20756736).

Almost surely, 2^801105318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801105318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996323328).

801105318 is an abundant number, since it is smaller than the sum of its proper divisors (1191541338).

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

801105318 is a wasteful number, since it uses less digits than its factorization.

801105318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 801105318 is about 28303.8039492928. The cubic root of 801105318 is about 928.7451059461.

The spelling of 801105318 in words is "eight hundred one million, one hundred five thousand, three hundred eighteen".