7082166000 has 960 divisors, whose sum is σ = 30564293760. Its totient is φ = 1393459200.

The previous prime is 7082165971. The next prime is 7082166019. The reversal of 7082166000 is 6612807.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64973946 + ... + 64974054.

It is an arithmetic number, because the mean of its divisors is an integer number (31837806).

Almost surely, 2^7082166000 is an apocalyptic number.

7082166000 is a gapful number since it is divisible by the number (70) 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 7082166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282146880).

7082166000 is an abundant number, since it is smaller than the sum of its proper divisors (23482127760).

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

7082166000 is a wasteful number, since it uses less digits than its factorization.

7082166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7082166000 is about 84155.6058738810. The cubic root of 7082166000 is about 1920.3867493480.

Adding to 7082166000 its reverse (6612807), we get a palindrome (7088778807).

The spelling of 7082166000 in words is "seven billion, eighty-two million, one hundred sixty-six thousand".