7825000 has 48 divisors (see below), whose sum is σ = 18397260. Its totient is φ = 3120000.

The previous prime is 7824977. The next prime is 7825003. The reversal of 7825000 is 5287.

It can be written as a sum of positive squares in 6 ways, for example, as 3305124 + 4519876 = 1818^2 + 2126^2 .

It is a super-2 number, since 2×7825000² = 122461250000000, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7825003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24844 + ... + 25156.

Almost surely, 2^7825000 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 7825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9198630).

7825000 is an abundant number, since it is smaller than the sum of its proper divisors (10572260).

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

7825000 is an equidigital number, since it uses as much as digits as its factorization.

7825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 7825000 is about 2797.3201461399. The cubic root of 7825000 is about 198.5309018420.

The spelling of 7825000 in words is "seven million, eight hundred twenty-five thousand".