6877740 has 48 divisors (see below), whose sum is σ = 19514880. Its totient is φ = 1809600.

The previous prime is 6877729. The next prime is 6877763. The reversal of 6877740 is 477786.

6877740 = 395² + 396² + ... + 434².

It is a happy number.

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

It is an unprimeable number.

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, 4015 + ... + 5465.

It is an arithmetic number, because the mean of its divisors is an integer number (406560).

Almost surely, 2^6877740 is an apocalyptic number.

6877740 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 6877740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757440).

6877740 is an abundant number, since it is smaller than the sum of its proper divisors (12637140).

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

6877740 is a wasteful number, since it uses less digits than its factorization.

6877740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 6877740 is about 2622.5445658749. The cubic root of 6877740 is about 190.1728805066.

The spelling of 6877740 in words is "six million, eight hundred seventy-seven thousand, seven hundred forty".