7818160 has 80 divisors (see below), whose sum is σ = 21712896. Its totient is φ = 2559744.

The previous prime is 7818133. The next prime is 7818191. The reversal of 7818160 is 618187.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7818160² = 122247251571200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12577 + ... + 13183.

Almost surely, 2^7818160 is an apocalyptic number.

7818160 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 7818160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856448).

7818160 is an abundant number, since it is smaller than the sum of its proper divisors (13894736).

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

7818160 is a wasteful number, since it uses less digits than its factorization.

7818160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 7818160 is about 2796.0972801389. The cubic root of 7818160 is about 198.4730382751.

The spelling of 7818160 in words is "seven million, eight hundred eighteen thousand, one hundred sixty".