7825408 has 24 divisors (see below), whose sum is σ = 15651090. Its totient is φ = 3911680.

The previous prime is 7825403. The next prime is 7825409. The reversal of 7825408 is 8045287.

It can be written as a sum of positive squares in only one way, i.e., 5161984 + 2663424 = 2272^2 + 1632^2 .

It is a super-2 number, since 2×7825408² = 122474020732928, which contains 22 as substring.

It is an Ulam 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 as a sum of consecutive naturals, namely, 138 + ... + 3958.

Almost surely, 2^7825408 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 7825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825545).

7825408 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

7825408 is an equidigital number, since it uses as much as digits as its factorization.

7825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 7825408 is about 2797.3930721298. The cubic root of 7825408 is about 198.5343522872.

The spelling of 7825408 in words is "seven million, eight hundred twenty-five thousand, four hundred eight".