9877680 has 160 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 2469888.

The previous prime is 9877667. The next prime is 9877687. The reversal of 9877680 is 867789.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9877687) 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 31 ways as a sum of consecutive naturals, for example, 36586 + ... + 36854.

It is an arithmetic number, because the mean of its divisors is an integer number (225990).

Almost surely, 2^9877680 is an apocalyptic number.

9877680 is a gapful number since it is divisible by the number (90) 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 9877680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

9877680 is an abundant number, since it is smaller than the sum of its proper divisors (26280720).

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

9877680 is a wasteful number, since it uses less digits than its factorization.

9877680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 9877680 is about 3142.8776622707. The cubic root of 9877680 is about 214.5614279542.

The spelling of 9877680 in words is "nine million, eight hundred seventy-seven thousand, six hundred eighty".