7825440 has 192 divisors, whose sum is σ = 30046464. Its totient is φ = 1671168.

The previous prime is 7825439. The next prime is 7825459. The reversal of 7825440 is 445287.

It is a super-2 number, since 2×7825440² = 122475022387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7825398 and 7825407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57052 + ... + 57188.

It is an arithmetic number, because the mean of its divisors is an integer number (156492).

Almost surely, 2^7825440 is an apocalyptic number.

7825440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023232).

7825440 is an abundant number, since it is smaller than the sum of its proper divisors (22221024).

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

7825440 is a wasteful number, since it uses less digits than its factorization.

7825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 7825440 is about 2797.3987917349. The cubic root of 7825440 is about 198.5346229053.

The spelling of 7825440 in words is "seven million, eight hundred twenty-five thousand, four hundred forty".