4764760 has 192 divisors, whose sum is σ = 15513120. Its totient is φ = 1290240.

The previous prime is 4764757. The next prime is 4764769. The reversal of 4764760 is 674674.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280272 + ... + 280288.

Almost surely, 2^4764760 is an apocalyptic number.

4764760 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 4764760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756560).

4764760 is an abundant number, since it is smaller than the sum of its proper divisors (10748360).

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

4764760 is a wasteful number, since it uses less digits than its factorization.

4764760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 4764760 is about 2182.8330215571. The cubic root of 4764760 is about 168.2727052411.

The spelling of 4764760 in words is "four million, seven hundred sixty-four thousand, seven hundred sixty".