7895160 has 192 divisors, whose sum is σ = 31711680. Its totient is φ = 1658880.

The previous prime is 7895159. The next prime is 7895179. The reversal of 7895160 is 615987.

7895160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

7895160 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

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

7895160 is an undulating number in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32640 + ... + 32880.

It is an arithmetic number, because the mean of its divisors is an integer number (165165).

Almost surely, 2^7895160 is an apocalyptic number.

7895160 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 7895160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855840).

7895160 is an abundant number, since it is smaller than the sum of its proper divisors (23816520).

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

7895160 is a wasteful number, since it uses less digits than its factorization.

7895160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7895160 is about 2809.8327352353. The cubic root of 7895160 is about 199.1224888350.

The spelling of 7895160 in words is "seven million, eight hundred ninety-five thousand, one hundred sixty".