803520 has 140 divisors (see below), whose sum is σ = 2950464. Its totient is φ = 207360.

The previous prime is 803519. The next prime is 803549. The reversal of 803520 is 25308.

Added to its reverse (25308) it gives a triangular number (828828 = T₁₂₈₇).

803520 = T₁₂₉ + T₁₃₀ + ... + T₁₉₀.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 803493 and 803502.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25905 + ... + 25935.

2⁸⁰³⁵²⁰ is an apocalyptic number.

803520 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 803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475232).

803520 is an abundant number, since it is smaller than the sum of its proper divisors (2146944).

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

803520 is a wasteful number, since it uses less digits than its factorization.

803520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 803520 is about 896.3927710552. The cubic root of 803520 is about 92.9677307399.

Adding to 803520 its reverse (25308), we get a palindrome (828828).

It can be divided in two parts, 80 and 3520, that added together give a square (3600 = 60²).

The spelling of 803520 in words is "eight hundred three thousand, five hundred twenty".