7982688 has 72 divisors (see below), whose sum is σ = 24390072. Its totient is φ = 2279424.

The previous prime is 7982683. The next prime is 7982693. The reversal of 7982688 is 8862897.

It is a happy number.

7982688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7982683) and next prime (7982693).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7982683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3856 + ... + 5552.

It is an arithmetic number, because the mean of its divisors is an integer number (338751).

Almost surely, 2^7982688 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 7982688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195036).

7982688 is an abundant number, since it is smaller than the sum of its proper divisors (16407384).

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

7982688 is a wasteful number, since it uses less digits than its factorization.

7982688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1709 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 7982688 is about 2825.3651091496. The cubic root of 7982688 is about 199.8556291437.

It can be divided in two parts, 798 and 2688, that added together give a triangular number (3486 = T₈₃).

The spelling of 7982688 in words is "seven million, nine hundred eighty-two thousand, six hundred eighty-eight".