7805160 has 192 divisors, whose sum is σ = 29090880. Its totient is φ = 1866240.

The previous prime is 7805153. The next prime is 7805173. The reversal of 7805160 is 615087.

7805160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

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, 106884 + ... + 106956.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

Almost surely, 2^7805160 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 7805160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545440).

7805160 is an abundant number, since it is smaller than the sum of its proper divisors (21285720).

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

7805160 is a wasteful number, since it uses less digits than its factorization.

7805160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 7805160 is about 2793.7716442115. The cubic root of 7805160 is about 198.3629705650.

The spelling of 7805160 in words is "seven million, eight hundred five thousand, one hundred sixty".