8780560 has 40 divisors (see below), whose sum is σ = 20920536. Its totient is φ = 3425280.

The previous prime is 8780543. The next prime is 8780561. The reversal of 8780560 is 650878.

It can be written as a sum of positive squares in 4 ways, for example, as 692224 + 8088336 = 832^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8780561) 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 7 ways as a sum of consecutive naturals, for example, 1942 + ... + 4618.

Almost surely, 2^8780560 is an apocalyptic number.

8780560 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 8780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460268).

8780560 is an abundant number, since it is smaller than the sum of its proper divisors (12139976).

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

8780560 is a wasteful number, since it uses less digits than its factorization.

8780560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 8780560 is about 2963.2009719221. The cubic root of 8780560 is about 206.3038842988.

The spelling of 8780560 in words is "eight million, seven hundred eighty thousand, five hundred sixty".