Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
80784 = 24331117
BaseRepresentation
bin10011101110010000
311002211000
4103232100
510041114
61422000
7454344
oct235620
9132730
1080784
1155770
123a900
132aa02
1421624
1518e09
hex13b90

80784 has 80 divisors (see below), whose sum is σ = 267840. Its totient is φ = 23040.

The previous prime is 80783. The next prime is 80789. The reversal of 80784 is 48708.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (80783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4744 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

280784 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 80784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

80784 is an abundant number, since it is smaller than the sum of its proper divisors (187056).

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

80784 is a wasteful number, since it uses less digits than its factorization.

80784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 33 counting only the distinct ones).

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

The square root of 80784 is about 284.2252627758. The cubic root of 80784 is about 43.2289928833.

80784 divided by its sum of digits (27) gives a palindrome (2992).

The spelling of 80784 in words is "eighty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8976 10098 13464 20196 26928 40392 80784