7680344 has 64 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 3066624.

The previous prime is 7680341. The next prime is 7680377. The reversal of 7680344 is 4430867.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7680344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680341) 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 15 ways as a sum of consecutive naturals, for example, 86252 + ... + 86340.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^7680344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7680344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

7680344 is an abundant number, since it is smaller than the sum of its proper divisors (9945256).

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

7680344 is a wasteful number, since it uses less digits than its factorization.

7680344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 7680344 is about 2771.3433565692. The cubic root of 7680344 is about 197.2999116558.

The spelling of 7680344 in words is "seven million, six hundred eighty thousand, three hundred forty-four".