4765320 has 192 divisors, whose sum is σ = 18570240. Its totient is φ = 1036800.

The previous prime is 4765249. The next prime is 4765331. The reversal of 4765320 is 235674.

4765320 = 27³ + 28³ + ... + 66³.

It is a happy number.

4765320 is a `hidden beast` number, since 4 + 7 + 653 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78090 + ... + 78150.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 2^4765320 is an apocalyptic number.

4765320 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 4765320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

4765320 is an abundant number, since it is smaller than the sum of its proper divisors (13804920).

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

4765320 is a wasteful number, since it uses less digits than its factorization.

4765320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4765320 is about 2182.9612914571. The cubic root of 4765320 is about 168.2792973201.

The spelling of 4765320 in words is "four million, seven hundred sixty-five thousand, three hundred twenty".