9782880 has 96 divisors (see below), whose sum is σ = 31298400. Its totient is φ = 2568192.

The previous prime is 9782879. The next prime is 9782917. The reversal of 9782880 is 882879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42606 + ... + 42834.

It is an arithmetic number, because the mean of its divisors is an integer number (326025).

Almost surely, 2^9782880 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 9782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649200).

9782880 is an abundant number, since it is smaller than the sum of its proper divisors (21515520).

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

9782880 is a wasteful number, since it uses less digits than its factorization.

9782880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 9782880 is about 3127.7595815535. The cubic root of 9782880 is about 213.8728099705.

The spelling of 9782880 in words is "nine million, seven hundred eighty-two thousand, eight hundred eighty".