8781120 has 84 divisors (see below), whose sum is σ = 30213300. Its totient is φ = 2340864.

The previous prime is 8781109. The next prime is 8781131. The reversal of 8781120 is 211878.

It is an interprime number because it is at equal distance from previous prime (8781109) and next prime (8781131).

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 6843456 = 1392^2 + 2616^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1356 + ... + 4404.

Almost surely, 2^8781120 is an apocalyptic number.

8781120 is a gapful number since it is divisible by the number (80) 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 8781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106650).

8781120 is an abundant number, since it is smaller than the sum of its proper divisors (21432180).

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

8781120 is a wasteful number, since it uses less digits than its factorization.

8781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3059 counting only the distinct ones).

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

The square root of 8781120 is about 2963.2954628251. The cubic root of 8781120 is about 206.3082700373.

Adding to 8781120 its reverse (211878), we get a palindrome (8992998).

The spelling of 8781120 in words is "eight million, seven hundred eighty-one thousand, one hundred twenty".