4756320 has 120 divisors (see below), whose sum is σ = 16831584. Its totient is φ = 1264896.

The previous prime is 4756307. The next prime is 4756333. The reversal of 4756320 is 236574.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4756307) and next prime (4756333).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12777 + ... + 13143.

Almost surely, 2^4756320 is an apocalyptic number.

4756320 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 4756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415792).

4756320 is an abundant number, since it is smaller than the sum of its proper divisors (12075264).

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

4756320 is a wasteful number, since it uses less digits than its factorization.

4756320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

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

The square root of 4756320 is about 2180.8988972440. The cubic root of 4756320 is about 168.1732905785.

The spelling of 4756320 in words is "four million, seven hundred fifty-six thousand, three hundred twenty".