7825120 has 24 divisors (see below), whose sum is σ = 18487224. Its totient is φ = 3129984.

The previous prime is 7825091. The next prime is 7825121. The reversal of 7825120 is 215287.

7825120 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×7825120² = 122465006028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825121) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 24294 + ... + 24613.

It is an arithmetic number, because the mean of its divisors is an integer number (770301).

Almost surely, 2^7825120 is an apocalyptic number.

It is an amenable number.

7825120 is an abundant number, since it is smaller than the sum of its proper divisors (10662104).

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

7825120 is a wasteful number, since it uses less digits than its factorization.

7825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48922 (or 48914 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 7825120 is about 2797.3415951578. The cubic root of 7825120 is about 198.5319166913.

The spelling of 7825120 in words is "seven million, eight hundred twenty-five thousand, one hundred twenty".