10788880 has 40 divisors (see below), whose sum is σ = 26563032. Its totient is φ = 4061184.

The previous prime is 10788871. The next prime is 10788881. The reversal of 10788880 is 8888701.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 9461776 = 1152^2 + 3076^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10788881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2607 + ... + 5326.

Almost surely, 2^10788880 is an apocalyptic number.

10788880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10788880 is an abundant number, since it is smaller than the sum of its proper divisors (15774152).

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

10788880 is a wasteful number, since it uses less digits than its factorization.

10788880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7963 (or 7957 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The square root of 10788880 is about 3284.6430551888. The cubic root of 10788880 is about 220.9660001066.

The spelling of 10788880 in words is "ten million, seven hundred eighty-eight thousand, eight hundred eighty".