7982766 has 64 divisors (see below), whose sum is σ = 19699200. Its totient is φ = 2376000.

The previous prime is 7982761. The next prime is 7982773. The reversal of 7982766 is 6672897.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7982761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52791 + ... + 52941.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^7982766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7982766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849600).

7982766 is an abundant number, since it is smaller than the sum of its proper divisors (11716434).

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

7982766 is a wasteful number, since it uses less digits than its factorization.

7982766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 7982766 is about 2825.3789126416. The cubic root of 7982766 is about 199.8562800810.

The spelling of 7982766 in words is "seven million, nine hundred eighty-two thousand, seven hundred sixty-six".