7682384 has 40 divisors (see below), whose sum is σ = 16115040. Its totient is φ = 3535488.

The previous prime is 7682383. The next prime is 7682387. The reversal of 7682384 is 4832867.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7682383) 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 7 ways as a sum of consecutive naturals, for example, 10907 + ... + 11589.

It is an arithmetic number, because the mean of its divisors is an integer number (402876).

Almost surely, 2^7682384 is an apocalyptic number.

7682384 is a gapful number since it is divisible by the number (74) 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 7682384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057520).

7682384 is an abundant number, since it is smaller than the sum of its proper divisors (8432656).

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

7682384 is a wasteful number, since it uses less digits than its factorization.

7682384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 7682384 is about 2771.7113846864. The cubic root of 7682384 is about 197.3173785899.

The spelling of 7682384 in words is "seven million, six hundred eighty-two thousand, three hundred eighty-four".