4807680 has 88 divisors (see below), whose sum is σ = 15426192. Its totient is φ = 1277952.

The previous prime is 4807679. The next prime is 4807681. The reversal of 4807680 is 867084.

It is an interprime number because it is at equal distance from previous prime (4807679) and next prime (4807681).

It is a super-3 number, since 3×4807680³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4807681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15204 + ... + 15516.

Almost surely, 2^4807680 is an apocalyptic number.

4807680 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 4807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713096).

4807680 is an abundant number, since it is smaller than the sum of its proper divisors (10618512).

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

4807680 is a wasteful number, since it uses less digits than its factorization.

4807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4807680 is about 2192.6422416801. The cubic root of 4807680 is about 168.7764512720.

It can be divided in two parts, 480 and 7680, that multiplied together give a square (3686400 = 1920²).

The spelling of 4807680 in words is "four million, eight hundred seven thousand, six hundred eighty".