4782880 has 48 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1891072.

The previous prime is 4782871. The next prime is 4782881. The reversal of 4782880 is 882874.

It is not an unprimeable number, because it can be changed into a prime (4782881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26631 + ... + 26809.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^4782880 is an apocalyptic number.

4782880 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 4782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

4782880 is an abundant number, since it is smaller than the sum of its proper divisors (6647840).

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

4782880 is a wasteful number, since it uses less digits than its factorization.

4782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 4782880 is about 2186.9796523973. The cubic root of 4782880 is about 168.4857446108.

The spelling of 4782880 in words is "four million, seven hundred eighty-two thousand, eight hundred eighty".