7852000 has 96 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 2880000.

The previous prime is 7851989. The next prime is 7852001. The reversal of 7852000 is 2587.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7852001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51925 + ... + 52075.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^7852000 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 7852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

7852000 is an abundant number, since it is smaller than the sum of its proper divisors (13061984).

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

7852000 is a wasteful number, since it uses less digits than its factorization.

7852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 7852000 is about 2802.1420377989. The cubic root of 7852000 is about 198.7589819656.

Adding to 7852000 its reverse (2587), we get a palindrome (7854587).

The spelling of 7852000 in words is "seven million, eight hundred fifty-two thousand".