7925760 has 156 divisors (see below), whose sum is σ = 28111512. Its totient is φ = 2064384.

The previous prime is 7925759. The next prime is 7925761. The reversal of 7925760 is 675297.

It is an interprime number because it is at equal distance from previous prime (7925759) and next prime (7925761).

It is a super-3 number, since 3×7925760³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7925761) 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, 184299 + ... + 184341.

It is an arithmetic number, because the mean of its divisors is an integer number (180202).

Almost surely, 2^7925760 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 7925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055756).

7925760 is an abundant number, since it is smaller than the sum of its proper divisors (20185752).

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

7925760 is a wasteful number, since it uses less digits than its factorization.

7925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 7925760 is about 2815.2726333341. The cubic root of 7925760 is about 199.3794096632.

The spelling of 7925760 in words is "seven million, nine hundred twenty-five thousand, seven hundred sixty".