7682000 has 80 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 2921600.

The previous prime is 7681991. The next prime is 7682021. The reversal of 7682000 is 2867.

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 (23).

It is a congruent number.

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, 45917 + ... + 46083.

Almost surely, 2^7682000 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 7682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

7682000 is an abundant number, since it is smaller than the sum of its proper divisors (11816752).

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

7682000 is a wasteful number, since it uses less digits than its factorization.

7682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 7682000 is about 2771.6421125391. The cubic root of 7682000 is about 197.3140909327.

Adding to 7682000 its reverse (2867), we get a palindrome (7684867).

The spelling of 7682000 in words is "seven million, six hundred eighty-two thousand".