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8780 = 225439
BaseRepresentation
bin10001001001100
3110001012
42021030
5240110
6104352
734412
oct21114
913035
108780
116662
1250b8
133cc5
1432b2
152905
hex224c

8780 has 12 divisors (see below), whose sum is σ = 18480. Its totient is φ = 3504.

The previous prime is 8779. The next prime is 8783. The reversal of 8780 is 878.

8780 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

8780 is strictly pandigital in base 6.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (1540).

28780 is an apocalyptic number.

It is an amenable number.

8780 is an abundant number, since it is smaller than the sum of its proper divisors (9700).

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 (9240).

8780 is a wasteful number, since it uses less digits than its factorization.

8780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 8780 is about 93.7016542010. The cubic root of 8780 is about 20.6299498374.

The spelling of 8780 in words is "eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 439 878 1756 2195 4390 8780