7825104 has 90 divisors (see below), whose sum is σ = 25497810. Its totient is φ = 2233728.

The previous prime is 7825091. The next prime is 7825121. The reversal of 7825104 is 4015287.

It can be written as a sum of positive squares in only one way, i.e., 4410000 + 3415104 = 2100^2 + 1848^2 .

It is a super-2 number, since 2×7825104² = 122464505221632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6502 + ... + 7610.

It is an arithmetic number, because the mean of its divisors is an integer number (283309).

Almost surely, 2^7825104 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 7825104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12748905).

7825104 is an abundant number, since it is smaller than the sum of its proper divisors (17672706).

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

7825104 is a wasteful number, since it uses less digits than its factorization.

7825104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 7825104 is about 2797.3387352982. The cubic root of 7825104 is about 198.5317813786.

It can be divided in two parts, 782 and 5104, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 7825104 in words is "seven million, eight hundred twenty-five thousand, one hundred four".