6773040 has 120 divisors (see below), whose sum is σ = 23793120. Its totient is φ = 1723392.

The previous prime is 6773033. The next prime is 6773047. The reversal of 6773040 is 403776.

6773040 is a nontrivial binomial coefficient, being equal to C(3681, 2).

It is an interprime number because it is at equal distance from previous prime (6773033) and next prime (6773047).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-5 number, since 5×6773040⁵ (a number of 35 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6772995 and 6773013.

It is not an unprimeable number, because it can be changed into a prime (6773047) 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 23 ways as a sum of consecutive naturals, for example, 16356 + ... + 16764.

It is an arithmetic number, because the mean of its divisors is an integer number (198276).

Almost surely, 2^6773040 is an apocalyptic number.

6773040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6773040 is the 3680-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6773040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896560).

6773040 is an abundant number, since it is smaller than the sum of its proper divisors (17020080).

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

6773040 is a wasteful number, since it uses less digits than its factorization.

6773040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 6773040 is about 2602.5064841418. The cubic root of 6773040 is about 189.2029398206.

The spelling of 6773040 in words is "six million, seven hundred seventy-three thousand, forty".