Search a number
-
+
78804 = 223211199
BaseRepresentation
bin10011001111010100
311000002200
4103033110
510010204
61404500
7445515
oct231724
9130080
1078804
1154230
1239730
1329b3b
1420a0c
1518539
hex133d4

78804 has 36 divisors (see below), whose sum is σ = 218400. Its totient is φ = 23760.

The previous prime is 78803. The next prime is 78809. The reversal of 78804 is 40887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297 + ... + 495.

278804 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 78804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109200).

78804 is an abundant number, since it is smaller than the sum of its proper divisors (139596).

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

78804 is a wasteful number, since it uses less digits than its factorization.

78804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 78804 is about 280.7205015670. The cubic root of 78804 is about 42.8728894518.

The spelling of 78804 in words is "seventy-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 199 396 398 597 796 1194 1791 2189 2388 3582 4378 6567 7164 8756 13134 19701 26268 39402 78804