7082000 has 40 divisors (see below), whose sum is σ = 17129112. Its totient is φ = 2832000.

The previous prime is 7081973. The next prime is 7082011. The reversal of 7082000 is 2807.

It can be written as a sum of positive squares in 4 ways, for example, as 446224 + 6635776 = 668^2 + 2576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 7082000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 3770.

Almost surely, 2^7082000 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 7082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564556).

7082000 is an abundant number, since it is smaller than the sum of its proper divisors (10047112).

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

7082000 is a wasteful number, since it uses less digits than its factorization.

7082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 7082000 is about 2661.2027356066. The cubic root of 7082000 is about 192.0371745149.

Adding to 7082000 its reverse (2807), we get a palindrome (7084807).

The spelling of 7082000 in words is "seven million, eighty-two thousand".