7881120 has 144 divisors (see below), whose sum is σ = 29031912. Its totient is φ = 1935360.

The previous prime is 7881113. The next prime is 7881151. The reversal of 7881120 is 211887.

It can be written as a sum of positive squares in 4 ways, for example, as 2178576 + 5702544 = 1476^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7881120² = 124224104908800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18510 + ... + 18930.

Almost surely, 2^7881120 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 7881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515956).

7881120 is an abundant number, since it is smaller than the sum of its proper divisors (21150792).

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

7881120 is a wasteful number, since it uses less digits than its factorization.

7881120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 7881120 is about 2807.3332541756. Note that the first 3 decimals coincide. The cubic root of 7881120 is about 199.0043853145.

It can be divided in two parts, 7881 and 120, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7881120 in words is "seven million, eight hundred eighty-one thousand, one hundred twenty".