7689825 has 72 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 3427200.

The previous prime is 7689817. The next prime is 7689827. The reversal of 7689825 is 5289867.

It is not a de Polignac number, because 7689825 - 2³ = 7689817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7689827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32056 + ... + 32294.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^7689825 is an apocalyptic number.

7689825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7689825 is an abundant number, since it is smaller than the sum of its proper divisors (8559135).

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

7689825 is a wasteful number, since it uses less digits than its factorization.

7689825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7689825 is about 2773.0533712859. The cubic root of 7689825 is about 197.3810638919.

The spelling of 7689825 in words is "seven million, six hundred eighty-nine thousand, eight hundred twenty-five".