4680080 has 40 divisors (see below), whose sum is σ = 11457600. Its totient is φ = 1772928.

The previous prime is 4680079. The next prime is 4680097. The reversal of 4680080 is 800864.

4680080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20 + ... + 3059.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 2^4680080 is an apocalyptic number.

4680080 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 4680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728800).

4680080 is an abundant number, since it is smaller than the sum of its proper divisors (6777520).

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

4680080 is a wasteful number, since it uses less digits than its factorization.

4680080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4680080 is about 2163.3492552059. The cubic root of 4680080 is about 167.2698852413.

The spelling of 4680080 in words is "four million, six hundred eighty thousand, eighty".