4767680 has 56 divisors (see below), whose sum is σ = 11631168. Its totient is φ = 1860608.

The previous prime is 4767673. The next prime is 4767757. The reversal of 4767680 is 867674.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14882 + ... + 15198.

Almost surely, 2^4767680 is an apocalyptic number.

4767680 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 4767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815584).

4767680 is an abundant number, since it is smaller than the sum of its proper divisors (6863488).

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

4767680 is a wasteful number, since it uses less digits than its factorization.

4767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 4767680 is about 2183.5017746730. The cubic root of 4767680 is about 168.3070725517.

The spelling of 4767680 in words is "four million, seven hundred sixty-seven thousand, six hundred eighty".