6774840 has 192 divisors, whose sum is σ = 24766560. Its totient is φ = 1658880.

The previous prime is 6774829. The next prime is 6774847. The reversal of 6774840 is 484776.

It is a happy number.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6774795 and 6774804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6774847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165220 + ... + 165260.

Almost surely, 2^6774840 is an apocalyptic number.

6774840 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 6774840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

6774840 is an abundant number, since it is smaller than the sum of its proper divisors (17991720).

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

6774840 is a wasteful number, since it uses less digits than its factorization.

6774840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

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

The square root of 6774840 is about 2602.8522816326. The cubic root of 6774840 is about 189.2196991648.

Subtracting from 6774840 its reverse (484776), we obtain a square (6290064 = 2508²).

The spelling of 6774840 in words is "six million, seven hundred seventy-four thousand, eight hundred forty".