4785680 has 40 divisors (see below), whose sum is σ = 11225472. Its totient is φ = 1897344.

The previous prime is 4785673. The next prime is 4785707. The reversal of 4785680 is 865874.

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, 12857 + ... + 13223.

Almost surely, 2^4785680 is an apocalyptic number.

4785680 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 4785680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612736).

4785680 is an abundant number, since it is smaller than the sum of its proper divisors (6439792).

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

4785680 is a wasteful number, since it uses less digits than its factorization.

4785680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 4785680 is about 2187.6197110101. The cubic root of 4785680 is about 168.5186165802.

The spelling of 4785680 in words is "four million, seven hundred eighty-five thousand, six hundred eighty".