10776080 has 60 divisors (see below), whose sum is σ = 29155500. Its totient is φ = 3693312.

The previous prime is 10776047. The next prime is 10776083. The reversal of 10776080 is 8067701.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 8317456 = 1568^2 + 2884^2 .

It is a super-2 number, since 2×10776080² = 232247800332800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10776083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2546 + ... + 5294.

It is an arithmetic number, because the mean of its divisors is an integer number (485925).

Almost surely, 2^10776080 is an apocalyptic number.

10776080 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 10776080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577750).

10776080 is an abundant number, since it is smaller than the sum of its proper divisors (18379420).

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

10776080 is a wasteful number, since it uses less digits than its factorization.

10776080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 10776080 is about 3282.6940155915. The cubic root of 10776080 is about 220.8785803414.

The spelling of 10776080 in words is "ten million, seven hundred seventy-six thousand, eighty".