7825520 has 40 divisors (see below), whose sum is σ = 18989856. Its totient is φ = 2993408.

The previous prime is 7825501. The next prime is 7825523. The reversal of 7825520 is 255287.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×7825520² = 122477526540800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287 + ... + 3966.

Almost surely, 2^7825520 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 7825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9494928).

7825520 is an abundant number, since it is smaller than the sum of its proper divisors (11164336).

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

7825520 is a wasteful number, since it uses less digits than its factorization.

7825520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 7825520 is about 2797.4130906965. The cubic root of 7825520 is about 198.5352994472.

The spelling of 7825520 in words is "seven million, eight hundred twenty-five thousand, five hundred twenty".