4707768 has 64 divisors (see below), whose sum is σ = 12902400. Its totient is φ = 1422720.

The previous prime is 4707757. The next prime is 4707779. The reversal of 4707768 is 8677074.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4707757) and next prime (4707779).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24553 + ... + 24743.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 2^4707768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4707768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451200).

4707768 is an abundant number, since it is smaller than the sum of its proper divisors (8194632).

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

4707768 is a wasteful number, since it uses less digits than its factorization.

4707768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 4707768 is about 2169.7391548294. The cubic root of 4707768 is about 167.5991007826.

The spelling of 4707768 in words is "four million, seven hundred seven thousand, seven hundred sixty-eight".