803080 has 32 divisors (see below), whose sum is σ = 1914840. Its totient is φ = 302080.

The previous prime is 803059. The next prime is 803087. The reversal of 803080 is 80308.

It can be written as a sum of positive squares in 4 ways, for example, as 799236 + 3844 = 894^2 + 62^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (803087) by changing a digit.

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, 90 + ... + 1270.

2⁸⁰³⁰⁸⁰ 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 803080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957420).

803080 is an abundant number, since it is smaller than the sum of its proper divisors (1111760).

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

803080 is a wasteful number, since it uses less digits than its factorization.

803080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 803080 is about 896.1473093192. The cubic root of 803080 is about 92.9507582230.

Adding to 803080 its reverse (80308), we get a palindrome (883388).

It can be divided in two parts, 80 and 3080, that added together give a triangular number (3160 = T₇₉).

The spelling of 803080 in words is "eight hundred three thousand, eighty".