803920 has 40 divisors (see below), whose sum is σ = 2015496. Its totient is φ = 296448.

The previous prime is 803911. The next prime is 803921. The reversal of 803920 is 29308.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 788544 = 124^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 803891 and 803900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654 + ... + 1426.

2⁸⁰³⁹²⁰ is an apocalyptic number.

803920 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 803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007748).

803920 is an abundant number, since it is smaller than the sum of its proper divisors (1211576).

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

803920 is a wasteful number, since it uses less digits than its factorization.

803920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 803920 is about 896.6158597750. The cubic root of 803920 is about 92.9831549249.

It can be divided in two parts, 80 and 3920, that multiplied together give a square (313600 = 560²).

The spelling of 803920 in words is "eight hundred three thousand, nine hundred twenty".