10775280 has 160 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2543616.

The previous prime is 10775279. The next prime is 10775287. The reversal of 10775280 is 8257701.

It is a happy number.

It is a super-2 number, since 2×10775280² = 232213318156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77451 + ... + 77589.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^10775280 is an apocalyptic number.

10775280 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 10775280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

10775280 is an abundant number, since it is smaller than the sum of its proper divisors (26722320).

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

10775280 is a wasteful number, since it uses less digits than its factorization.

10775280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 10775280 is about 3282.5721621923. The cubic root of 10775280 is about 220.8731143080.

The spelling of 10775280 in words is "ten million, seven hundred seventy-five thousand, two hundred eighty".