9876880 has 40 divisors (see below), whose sum is σ = 24732792. Its totient is φ = 3646464.

The previous prime is 9876871. The next prime is 9876883. The reversal of 9876880 is 886789.

9876880 = T₃₂₃ + T₃₂₄ + ... + T₄₅₂.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 9634816 = 492^2 + 3104^2 .

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9876880.

It is not an unprimeable number, because it can be changed into a prime (9876883) 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, 3709 + ... + 5788.

Almost surely, 2^9876880 is an apocalyptic number.

It is an amenable number.

9876880 is an abundant number, since it is smaller than the sum of its proper divisors (14855912).

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

9876880 is a wasteful number, since it uses less digits than its factorization.

9876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 9876880 is about 3142.7503877973. The cubic root of 9876880 is about 214.5556353060. Note that the first 3 decimals are identical.

The spelling of 9876880 in words is "nine million, eight hundred seventy-six thousand, eight hundred eighty".