7685120 has 88 divisors (see below), whose sum is σ = 19651200. Its totient is φ = 2875392.

The previous prime is 7685107. The next prime is 7685129. The reversal of 7685120 is 215867.

7685120 = T₄₀₁ + T₄₀₂ + ... + T₄₇₉.

It is a super-3 number, since 3×7685120³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (7685129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97241 + ... + 97319.

Almost surely, 2^7685120 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 7685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825600).

7685120 is an abundant number, since it is smaller than the sum of its proper divisors (11966080).

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

7685120 is a wasteful number, since it uses less digits than its factorization.

7685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 7685120 is about 2772.2048986321. The cubic root of 7685120 is about 197.3407999772.

The spelling of 7685120 in words is "seven million, six hundred eighty-five thousand, one hundred twenty".