6773820 has 96 divisors (see below), whose sum is σ = 20865600. Its totient is φ = 1634304.

The previous prime is 6773807. The next prime is 6773821. The reversal of 6773820 is 283776.

6773820 = T₁₉₃ + T₁₉₄ + ... + T₃₆₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6773821) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29466 + ... + 29694.

It is an arithmetic number, because the mean of its divisors is an integer number (217350).

Almost surely, 2^6773820 is an apocalyptic number.

6773820 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 6773820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432800).

6773820 is an abundant number, since it is smaller than the sum of its proper divisors (14091780).

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

6773820 is a wasteful number, since it uses less digits than its factorization.

6773820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 6773820 is about 2602.6563353620. The cubic root of 6773820 is about 189.2102025676.

The spelling of 6773820 in words is "six million, seven hundred seventy-three thousand, eight hundred twenty".