7825600 has 84 divisors (see below), whose sum is σ = 19810984. Its totient is φ = 3041280.

The previous prime is 7825591. The next prime is 7825607. The reversal of 7825600 is 65287.

It is a super-2 number, since 2×7825600² = 122480030720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7825607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107164 + ... + 107236.

Almost surely, 2^7825600 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 7825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905492).

7825600 is an abundant number, since it is smaller than the sum of its proper divisors (11985384).

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

7825600 is a wasteful number, since it uses less digits than its factorization.

7825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 7825600 is about 2797.4273895849. The cubic root of 7825600 is about 198.5359759846.

The spelling of 7825600 in words is "seven million, eight hundred twenty-five thousand, six hundred".