7881160 has 48 divisors (see below), whose sum is σ = 20632860. Its totient is φ = 2701440.

The previous prime is 7881151. The next prime is 7881163. The reversal of 7881160 is 611887.

It can be written as a sum of positive squares in 2 ways, for example, as 7001316 + 879844 = 2646^2 + 938^2 .

It is a super-2 number, since 2×7881160² = 124225365891200, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7881163) 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, 51 + ... + 3970.

Almost surely, 2^7881160 is an apocalyptic number.

7881160 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 7881160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10316430).

7881160 is an abundant number, since it is smaller than the sum of its proper divisors (12751700).

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

7881160 is a wasteful number, since it uses less digits than its factorization.

7881160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4035 counting only the distinct ones).

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

The square root of 7881160 is about 2807.3403783653. The cubic root of 7881160 is about 199.0047219909.

The spelling of 7881160 in words is "seven million, eight hundred eighty-one thousand, one hundred sixty".