7688625 has 64 divisors (see below), whose sum is σ = 15275520. Its totient is φ = 3360000.

The previous prime is 7688591. The next prime is 7688627. The reversal of 7688625 is 5268867.

It is not a de Polignac number, because 7688625 - 2⁶ = 7688561 is a prime.

It is a super-2 number, since 2×7688625² = 118229908781250, which contains 22 as substring.

7688625 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7688627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76075 + ... + 76175.

It is an arithmetic number, because the mean of its divisors is an integer number (238680).

Almost surely, 2^7688625 is an apocalyptic number.

7688625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7688625 is a deficient number, since it is larger than the sum of its proper divisors (7586895).

7688625 is a wasteful number, since it uses less digits than its factorization.

7688625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 7688625 is about 2772.8369948484. The cubic root of 7688625 is about 197.3707962287.

It can be divided in two parts, 768862 and 5, that added together give a palindrome (768867).

The spelling of 7688625 in words is "seven million, six hundred eighty-eight thousand, six hundred twenty-five".