7795125 has 72 divisors (see below), whose sum is σ = 15587208. Its totient is φ = 3744000.

The previous prime is 7795121. The next prime is 7795141. The reversal of 7795125 is 5215977.

7795125 = 535² + 536² + ... + 560².

It can be written as a sum of positive squares in 12 ways, for example, as 7717284 + 77841 = 2778^2 + 279^2 .

It is not a de Polignac number, because 7795125 - 2² = 7795121 is a prime.

7795125 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7795125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7795121) 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, 190105 + ... + 190145.

It is an arithmetic number, because the mean of its divisors is an integer number (216489).

Almost surely, 2^7795125 is an apocalyptic number.

7795125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7795125 is a deficient number, since it is larger than the sum of its proper divisors (7792083).

7795125 is a wasteful number, since it uses less digits than its factorization.

7795125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 7795125 is about 2791.9751073389. The cubic root of 7795125 is about 198.2779231474.

The spelling of 7795125 in words is "seven million, seven hundred ninety-five thousand, one hundred twenty-five".