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804 = 22367
BaseRepresentation
bin1100100100
31002210
430210
511204
63420
72226
oct1444
91083
10804
11671
12570
1349b
14416
15389
hex324

804 has 12 divisors (see below), whose sum is σ = 1904. Its totient is φ = 264.

The previous prime is 797. The next prime is 809. The reversal of 804 is 408.

804 = T10 + T11 + ... + T17.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 67 = 804 / (8 + 0 + 4).

It is a plaindrome in base 7, base 8, base 13 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 804.

It is not an unprimeable number, because it can be changed into a prime (809) by changing a digit.

804 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 3 ways as a sum of consecutive naturals, for example, 22 + ... + 45.

It is an amenable number.

804 is an abundant number, since it is smaller than the sum of its proper divisors (1100).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952).

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

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

The sum of its prime factors is 74 (or 72 counting only the distinct ones).

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

The square root of 804 is about 28.3548937575. The cubic root of 804 is about 9.2986239148.

The spelling of 804 in words is "eight hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804