801100320 has 192 divisors, whose sum is σ = 2654467200. Its totient is φ = 202825728.

The previous prime is 801100309. The next prime is 801100337. The reversal of 801100320 is 23001108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 801100320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763156 + ... + 764204.

It is an arithmetic number, because the mean of its divisors is an integer number (13825350).

Almost surely, 2^801100320 is an apocalyptic number.

801100320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327233600).

801100320 is an abundant number, since it is smaller than the sum of its proper divisors (1853366880).

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

801100320 is a wasteful number, since it uses less digits than its factorization.

801100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 801100320 is about 28303.7156571359. The cubic root of 801100320 is about 928.7431744990.

Adding to 801100320 its reverse (23001108), we get a palindrome (824101428).

The spelling of 801100320 in words is "eight hundred one million, one hundred thousand, three hundred twenty".