6761920 has 112 divisors (see below), whose sum is σ = 18763488. Its totient is φ = 2293760.

The previous prime is 6761897. The next prime is 6761921. The reversal of 6761920 is 291676.

6761920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6761921) 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 15 ways as a sum of consecutive naturals, for example, 59784 + ... + 59896.

Almost surely, 2^6761920 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 6761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381744).

6761920 is an abundant number, since it is smaller than the sum of its proper divisors (12001568).

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

6761920 is a wasteful number, since it uses less digits than its factorization.

6761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 6761920 is about 2600.3692045554. The cubic root of 6761920 is about 189.0993384265.

It can be divided in two parts, 67 and 61920, that multiplied together give a triangular number (4148640 = T₂₈₈₀).

The spelling of 6761920 in words is "six million, seven hundred sixty-one thousand, nine hundred twenty".