6761720 has 128 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 2073600.

The previous prime is 6761717. The next prime is 6761723. The reversal of 6761720 is 271676.

6761720 = T₇₉ + T₈₀ + ... + T₃₄₄.

It is an interprime number because it is at equal distance from previous prime (6761717) and next prime (6761723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6761723) 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, 164900 + ... + 164940.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^6761720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6761720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

6761720 is an abundant number, since it is smaller than the sum of its proper divisors (12591880).

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

6761720 is a wasteful number, since it uses less digits than its factorization.

6761720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 6761720 is about 2600.3307481934. The cubic root of 6761720 is about 189.0974740526.

The spelling of 6761720 in words is "six million, seven hundred sixty-one thousand, seven hundred twenty".