4780 has 12 divisors (see below), whose sum is σ = 10080. Its totient is φ = 1904.
The previous prime is 4759. The next prime is 4783. The reversal of 4780 is 874.
It is a happy number.
It is a plaindrome in base 13 and base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4783) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100 + ... + 139.
It is an arithmetic number, because the mean of its divisors is an integer number (840).
It is an amenable number.
4780 is an abundant number, since it is smaller than the sum of its proper divisors (5300).
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 (5040).
4780 is a wasteful number, since it uses less digits than its factorization.
4780 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 248 (or 246 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 19.
The square root of 4780 is about 69.1375440698. The cubic root of 4780 is about 16.8451920055.
Subtracting from 4780 its sum of digits (19), we obtain a square (4761 = 692).
It can be divided in two parts, 4 and 780, that added together give a square (784 = 282).
The spelling of 4780 in words is "four thousand, seven hundred eighty".
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