7982208 has 144 divisors (see below), whose sum is σ = 25479090. Its totient is φ = 2396160.

The previous prime is 7982203. The next prime is 7982209. The reversal of 7982208 is 8022897.

7982208 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1871424 + 6110784 = 1368^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7⁷ + 9⁷ + 8⁶ + 2⁴ + 2¹⁴ + 0 + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (7982201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194668 + ... + 194708.

Almost surely, 2^7982208 is an apocalyptic number.

7982208 is a gapful number since it is divisible by the number (78) 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 7982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739545).

7982208 is an abundant number, since it is smaller than the sum of its proper divisors (17496882).

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

7982208 is a wasteful number, since it uses less digits than its factorization.

7982208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7982208 is about 2825.2801630989. The cubic root of 7982208 is about 199.8516232823.

The spelling of 7982208 in words is "seven million, nine hundred eighty-two thousand, two hundred eight".