10756880 has 80 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 4053504.

The previous prime is 10756873. The next prime is 10756897. The reversal of 10756880 is 8865701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10756880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182291 + ... + 182349.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 2^10756880 is an apocalyptic number.

10756880 is a gapful number since it is divisible by the number (10) 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 10756880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

10756880 is an abundant number, since it is smaller than the sum of its proper divisors (15759280).

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

10756880 is a wasteful number, since it uses less digits than its factorization.

10756880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 10756880 is about 3279.7682844982. The cubic root of 10756880 is about 220.7473208010.

The spelling of 10756880 in words is "ten million, seven hundred fifty-six thousand, eight hundred eighty".