Search a number
-
+
78816 = 253821
BaseRepresentation
bin10011001111100000
311000010010
4103033200
510010231
61404520
7445533
oct231740
9130103
1078816
1154241
1239740
1329b4a
1420a1a
1518546
hex133e0

78816 has 24 divisors (see below), whose sum is σ = 207144. Its totient is φ = 26240.

The previous prime is 78809. The next prime is 78823. The reversal of 78816 is 61887.

It is an interprime number because it is at equal distance from previous prime (78809) and next prime (78823).

It is a tau number, because it is divible by the number of its divisors (24).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

78816 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, 315 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (8631).

278816 is an apocalyptic number.

It is an amenable number.

78816 is an abundant number, since it is smaller than the sum of its proper divisors (128328).

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 (103572).

78816 is a wasteful number, since it uses less digits than its factorization.

78816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 78816 is about 280.7418743259. The cubic root of 78816 is about 42.8750655197.

It can be divided in two parts, 7881 and 6, that added together give a palindrome (7887).

The spelling of 78816 in words is "seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 821 1642 2463 3284 4926 6568 9852 13136 19704 26272 39408 78816