7828125 has 28 divisors (see below), whose sum is σ = 13124832. Its totient is φ = 4150000.

The previous prime is 7828123. The next prime is 7828129. The reversal of 7828125 is 5218287.

It is not a de Polignac number, because 7828125 - 2¹ = 7828123 is a prime.

It is a super-2 number, since 2×7828125² = 122559082031250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828123) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 46792 + ... + 46958.

It is an arithmetic number, because the mean of its divisors is an integer number (468744).

Almost surely, 2^7828125 is an apocalyptic number.

7828125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7828125 is a deficient number, since it is larger than the sum of its proper divisors (5296707).

7828125 is an frugal number, since it uses more digits than its factorization.

7828125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 175 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 7828125 is about 2797.8786606999. The cubic root of 7828125 is about 198.5573268259.

It can be divided in two parts, 78 and 28125, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 7828125 in words is "seven million, eight hundred twenty-eight thousand, one hundred twenty-five".