10779680 has 48 divisors (see below), whose sum is σ = 25787160. Its totient is φ = 4257792.

The previous prime is 10779673. The next prime is 10779731. The reversal of 10779680 is 8697701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7639696 + 3139984 = 2764^2 + 1772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13862 + ... + 14618.

Almost surely, 2^10779680 is an apocalyptic number.

10779680 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 10779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893580).

10779680 is an abundant number, since it is smaller than the sum of its proper divisors (15007480).

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

10779680 is an equidigital number, since it uses as much as digits as its factorization.

10779680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 10779680 is about 3283.2422999224. The cubic root of 10779680 is about 220.9031741441.

The spelling of 10779680 in words is "ten million, seven hundred seventy-nine thousand, six hundred eighty".