805120 has 72 divisors (see below), whose sum is σ = 2097144. Its totient is φ = 294912.

The previous prime is 805111. The next prime is 805121. The reversal of 805120 is 21508.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 473344 = 576^2 + 688^2 .

It is a super-3 number, since 3×805120³ = 1565680346333184000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 805094 and 805103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805121) by changing a digit.

805120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21742 + ... + 21778.

It is an arithmetic number, because the mean of its divisors is an integer number (29127).

2⁸⁰⁵¹²⁰ is an apocalyptic number.

805120 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 805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048572).

805120 is an abundant number, since it is smaller than the sum of its proper divisors (1292024).

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

805120 is a wasteful number, since it uses less digits than its factorization.

805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 805120 is about 897.2847931398. The cubic root of 805120 is about 93.0293968039.

Adding to 805120 its reverse (21508), we get a palindrome (826628).

It can be divided in two parts, 80 and 5120, that multiplied together give a square (409600 = 640²).

The spelling of 805120 in words is "eight hundred five thousand, one hundred twenty".