4770 has 24 divisors (see below), whose sum is σ = 12636. Its totient is φ = 1248.

The previous prime is 4759. The next prime is 4783. The reversal of 4770 is 774.

It can be written as a sum of positive squares in 2 ways, for example, as 4761 + 9 = 69^2 + 3^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is an unprimeable number.

4770 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 64 + ... + 116.

2⁴⁷⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318).

4770 is an abundant number, since it is smaller than the sum of its proper divisors (7866).

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

4770 is a wasteful number, since it uses less digits than its factorization.

4770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 4770 is about 69.0651865993. The cubic root of 4770 is about 16.8334368084.

The spelling of 4770 in words is "four thousand, seven hundred seventy", and thus it is an iban number.