803000 has 64 divisors (see below), whose sum is σ = 2077920. Its totient is φ = 288000.

The previous prime is 802987. The next prime is 803027. The reversal of 803000 is 308.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

803000 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10964 + ... + 11036.

2⁸⁰³⁰⁰⁰ 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 803000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038960).

803000 is an abundant number, since it is smaller than the sum of its proper divisors (1274920).

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

803000 is a wasteful number, since it uses less digits than its factorization.

803000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 803000 is about 896.1026726888. The cubic root of 803000 is about 92.9476716449.

Adding to 803000 its reverse (308), we get a palindrome (803308).

The spelling of 803000 in words is "eight hundred three thousand".