7982000 has 80 divisors (see below), whose sum is σ = 20852832. Its totient is φ = 2937600.

The previous prime is 7981999. The next prime is 7982017. The reversal of 7982000 is 2897.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25847 + ... + 26153.

Almost surely, 2^7982000 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 7982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426416).

7982000 is an abundant number, since it is smaller than the sum of its proper divisors (12870832).

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

7982000 is a wasteful number, since it uses less digits than its factorization.

7982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 7982000 is about 2825.2433523504. The cubic root of 7982000 is about 199.8498873592.

Adding to 7982000 its reverse (2897), we get a palindrome (7984897).

The spelling of 7982000 in words is "seven million, nine hundred eighty-two thousand".