7802160 has 160 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 1870848.

The previous prime is 7802117. The next prime is 7802161. The reversal of 7802160 is 612087.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7802160.

It is not an unprimeable number, because it can be changed into a prime (7802161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132211 + ... + 132269.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 2^7802160 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 7802160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

7802160 is an abundant number, since it is smaller than the sum of its proper divisors (18981840).

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

7802160 is a wasteful number, since it uses less digits than its factorization.

7802160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 7802160 is about 2793.2346840178. The cubic root of 7802160 is about 198.3375529707.

The spelling of 7802160 in words is "seven million, eight hundred two thousand, one hundred sixty".