7825400 has 48 divisors (see below), whose sum is σ = 19853640. Its totient is φ = 2844800.

The previous prime is 7825373. The next prime is 7825403. The reversal of 7825400 is 45287.

It is a super-2 number, since 2×7825400² = 122473770320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7825400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422 + ... + 3978.

Almost surely, 2^7825400 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 7825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9926820).

7825400 is an abundant number, since it is smaller than the sum of its proper divisors (12028240).

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

7825400 is a wasteful number, since it uses less digits than its factorization.

7825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 7825400 is about 2797.3916422267. The cubic root of 7825400 is about 198.5342846325.

The spelling of 7825400 in words is "seven million, eight hundred twenty-five thousand, four hundred".