4750800 has 120 divisors (see below), whose sum is σ = 15775776. Its totient is φ = 1221120.

The previous prime is 4750789. The next prime is 4750813. The reversal of 4750800 is 80574.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44347 + ... + 44453.

Almost surely, 2^4750800 is an apocalyptic number.

4750800 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 4750800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887888).

4750800 is an abundant number, since it is smaller than the sum of its proper divisors (11024976).

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

4750800 is a wasteful number, since it uses less digits than its factorization.

4750800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 4750800 is about 2179.6329966304. The cubic root of 4750800 is about 168.1082069341.

The spelling of 4750800 in words is "four million, seven hundred fifty thousand, eight hundred".