4805760 has 64 divisors (see below), whose sum is σ = 15324480. Its totient is φ = 1281024.

The previous prime is 4805753. The next prime is 4805761. The reversal of 4805760 is 675084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4805761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 3171.

It is an arithmetic number, because the mean of its divisors is an integer number (239445).

Almost surely, 2^4805760 is an apocalyptic number.

4805760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662240).

4805760 is an abundant number, since it is smaller than the sum of its proper divisors (10518720).

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

4805760 is a wasteful number, since it uses less digits than its factorization.

4805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4805760 is about 2192.2043700349. The cubic root of 4805760 is about 168.7539807017.

It can be divided in two parts, 4805 and 760, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 4805760 in words is "four million, eight hundred five thousand, seven hundred sixty".