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804000 = 2535367
BaseRepresentation
bin11000100010010100000
31111211212210
43010102200
5201212000
625122120
76556011
oct3042240
91454783
10804000
114aa06a
12329340
13221c52
1416d008
1510d350
hexc44a0

804000 has 96 divisors (see below), whose sum is σ = 2673216. Its totient is φ = 211200.

The previous prime is 803989. The next prime is 804007. The reversal of 804000 is 408.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (804007) by changing a digit.

804000 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 15 ways as a sum of consecutive naturals, for example, 11967 + ... + 12033.

It is an arithmetic number, because the mean of its divisors is an integer number (27846).

2804000 is an apocalyptic number.

804000 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 804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608).

804000 is an abundant number, since it is smaller than the sum of its proper divisors (1869216).

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

804000 is a wasteful number, since it uses less digits than its factorization.

804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 804000 is about 896.6604708584. The cubic root of 804000 is about 92.9862391479.

Adding to 804000 its reverse (408), we get a palindrome (804408).

The spelling of 804000 in words is "eight hundred four thousand".