4760 has 32 divisors (see below), whose sum is σ = 12960. Its totient is φ = 1536.

The previous prime is 4759. The next prime is 4783. The reversal of 4760 is 674.

4760 = 8² + 9² + ... + 24².

4760 is nontrivially palindromic in base 13.

It is a Cunningham number, because it is equal to 69²-1.

It is a Harshad number since it is a multiple of its sum of digits (17).

4760 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4760.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 272 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (405).

2⁴⁷⁶⁰ is an apocalyptic number.

4760 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 4760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480).

4760 is an abundant number, since it is smaller than the sum of its proper divisors (8200).

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

4760 is a wasteful number, since it uses less digits than its factorization.

4760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 4760 is about 68.9927532426. The cubic root of 4760 is about 16.8216651704.

The spelling of 4760 in words is "four thousand, seven hundred sixty".