10770 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 2864.

The previous prime is 10753. The next prime is 10771. The reversal of 10770 is 7701.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10771) by changing a digit.

10770 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

10770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10770 is an abundant number, since it is smaller than the sum of its proper divisors (15150).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960).

10770 is a wasteful number, since it uses less digits than its factorization.

10770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 10770 is about 103.7786105130. The cubic root of 10770 is about 22.0837031701.

It can be divided in two parts, 10 and 770, that added together give a triangular number (780 = T₃₉).

The spelling of 10770 in words is "ten thousand, seven hundred seventy", and thus it is an iban number.