6771120 has 80 divisors (see below), whose sum is σ = 21293280. Its totient is φ = 1779712.

The previous prime is 6771119. The next prime is 6771137. The reversal of 6771120 is 211776.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21202 + ... + 21518.

It is an arithmetic number, because the mean of its divisors is an integer number (266166).

Almost surely, 2^6771120 is an apocalyptic number.

6771120 is a gapful number since it is divisible by the number (60) 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 6771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646640).

6771120 is an abundant number, since it is smaller than the sum of its proper divisors (14522160).

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

6771120 is a wasteful number, since it uses less digits than its factorization.

6771120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 6771120 is about 2602.1375828345. The cubic root of 6771120 is about 189.1850599136.

Adding to 6771120 its reverse (211776), we get a palindrome (6982896).

The spelling of 6771120 in words is "six million, seven hundred seventy-one thousand, one hundred twenty".