804800 has 42 divisors (see below), whose sum is σ = 1984248. Its totient is φ = 321280.

The previous prime is 804767. The next prime is 804803. The reversal of 804800 is 8408.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804803) by changing a digit.

804800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1349 + ... + 1851.

It is an arithmetic number, because the mean of its divisors is an integer number (47244).

2⁸⁰⁴⁸⁰⁰ is an apocalyptic number.

804800 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 804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992124).

804800 is an abundant number, since it is smaller than the sum of its proper divisors (1179448).

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

804800 is a wasteful number, since it uses less digits than its factorization.

804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 804800 is about 897.1064596802. The cubic root of 804800 is about 93.0170701313.

The spelling of 804800 in words is "eight hundred four thousand, eight hundred".