6774480 has 90 divisors (see below), whose sum is σ = 22987926. Its totient is φ = 1787904.

The previous prime is 6774479. The next prime is 6774503. The reversal of 6774480 is 844776.

It is a happy number.

6774480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 484416 + 6290064 = 696^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69792 + ... + 69888.

Almost surely, 2^6774480 is an apocalyptic number.

6774480 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 6774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11493963).

6774480 is an abundant number, since it is smaller than the sum of its proper divisors (16213446).

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

6774480 is a wasteful number, since it uses less digits than its factorization.

6774480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6774480 is about 2602.7831258098. The cubic root of 6774480 is about 189.2163475334.

It can be divided in two parts, 67 and 74480, that added together give a palindrome (74547).

The spelling of 6774480 in words is "six million, seven hundred seventy-four thousand, four hundred eighty".