4756800 has 84 divisors (see below), whose sum is σ = 15622016. Its totient is φ = 1267200.

The previous prime is 4756793. The next prime is 4756811. The reversal of 4756800 is 86574.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4305 + ... + 5295.

Almost surely, 2^4756800 is an apocalyptic number.

4756800 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 4756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811008).

4756800 is an abundant number, since it is smaller than the sum of its proper divisors (10865216).

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

4756800 is a wasteful number, since it uses less digits than its factorization.

4756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4756800 is about 2181.0089408345. The cubic root of 4756800 is about 168.1789476456.

The spelling of 4756800 in words is "four million, seven hundred fifty-six thousand, eight hundred".