4782680 has 128 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 1451520.

The previous prime is 4782677. The next prime is 4782683. The reversal of 4782680 is 862874.

It is an interprime number because it is at equal distance from previous prime (4782677) and next prime (4782683).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4782680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4782683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 154265 + ... + 154295.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

Almost surely, 2^4782680 is an apocalyptic number.

4782680 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 4782680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912000).

4782680 is an abundant number, since it is smaller than the sum of its proper divisors (9041320).

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

4782680 is a wasteful number, since it uses less digits than its factorization.

4782680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 4782680 is about 2186.9339267568. The cubic root of 4782680 is about 168.4833961221.

The spelling of 4782680 in words is "four million, seven hundred eighty-two thousand, six hundred eighty".