4877800 has 48 divisors (see below), whose sum is σ = 11745900. Its totient is φ = 1883840.

The previous prime is 4877783. The next prime is 4877843. The reversal of 4877800 is 87784.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 391876 + 4485924 = 626^2 + 2118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168186 + ... + 168214.

Almost surely, 2^4877800 is an apocalyptic number.

4877800 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 4877800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872950).

4877800 is an abundant number, since it is smaller than the sum of its proper divisors (6868100).

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

4877800 is an equidigital number, since it uses as much as digits as its factorization.

4877800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 4877800 is about 2208.5742007005. The cubic root of 4877800 is about 169.5930288163.

The spelling of 4877800 in words is "four million, eight hundred seventy-seven thousand, eight hundred".