6877920 has 192 divisors, whose sum is σ = 26127360. Its totient is φ = 1486848.

The previous prime is 6877919. The next prime is 6877921. The reversal of 6877920 is 297786.

It is an interprime number because it is at equal distance from previous prime (6877919) and next prime (6877921).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6877921) 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 31 ways as a sum of consecutive naturals, for example, 77236 + ... + 77324.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^6877920 is an apocalyptic number.

6877920 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 6877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

6877920 is an abundant number, since it is smaller than the sum of its proper divisors (19249440).

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

6877920 is a wasteful number, since it uses less digits than its factorization.

6877920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 6877920 is about 2622.5788834657. The cubic root of 6877920 is about 190.1745395215.

The spelling of 6877920 in words is "six million, eight hundred seventy-seven thousand, nine hundred twenty".