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804816 = 243723
BaseRepresentation
bin11000100011111010000
31111220000000
43010133100
5201223231
625130000
76561255
oct3043720
91456000
10804816
114aa741
12329900
1322242c
1416d42c
1510d6e6
hexc47d0

804816 has 80 divisors (see below), whose sum is σ = 2440320. Its totient is φ = 256608.

The previous prime is 804803. The next prime is 804823. The reversal of 804816 is 618408.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 804816.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 804816.

It is an unprimeable number.

804816 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, 34981 + ... + 35003.

It is an arithmetic number, because the mean of its divisors is an integer number (30504).

2804816 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 804816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220160).

804816 is an abundant number, since it is smaller than the sum of its proper divisors (1635504).

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

804816 is an equidigital number, since it uses as much as digits as its factorization.

804816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 804816 is about 897.1153771952. The cubic root of 804816 is about 93.0176865425.

The spelling of 804816 in words is "eight hundred four thousand, eight hundred sixteen".