4787680 has 48 divisors (see below), whose sum is σ = 11811744. Its totient is φ = 1830400.

The previous prime is 4787669. The next prime is 4787683. The reversal of 4787680 is 867874.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4787683) 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, 3030 + ... + 4330.

It is an arithmetic number, because the mean of its divisors is an integer number (246078).

Almost surely, 2^4787680 is an apocalyptic number.

4787680 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 4787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905872).

4787680 is an abundant number, since it is smaller than the sum of its proper divisors (7024064).

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

4787680 is a wasteful number, since it uses less digits than its factorization.

4787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 4787680 is about 2188.0767811025. The cubic root of 4787680 is about 168.5420887091.

The spelling of 4787680 in words is "four million, seven hundred eighty-seven thousand, six hundred eighty".