803400 has 96 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 195840.

The previous prime is 803399. The next prime is 803417. The reversal of 803400 is 4308.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 803400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7749 + ... + 7851.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2⁸⁰³⁴⁰⁰ 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 803400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

803400 is an abundant number, since it is smaller than the sum of its proper divisors (1904760).

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

803400 is a wasteful number, since it uses less digits than its factorization.

803400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 803400 is about 896.3258336119. The cubic root of 803400 is about 92.9631024863.

Adding to 803400 its reverse (4308), we get a palindrome (807708).

The spelling of 803400 in words is "eight hundred three thousand, four hundred".