6877440 has 144 divisors (see below), whose sum is σ = 24528000. Its totient is φ = 1824768.

The previous prime is 6877433. The next prime is 6877441. The reversal of 6877440 is 447786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6877395 and 6877404.

It is not an unprimeable number, because it can be changed into a prime (6877441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34461 + ... + 34659.

Almost surely, 2^6877440 is an apocalyptic number.

6877440 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 6877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264000).

6877440 is an abundant number, since it is smaller than the sum of its proper divisors (17650560).

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

6877440 is a wasteful number, since it uses less digits than its factorization.

6877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6877440 is about 2622.4873688924. The cubic root of 6877440 is about 190.1701154174.

The spelling of 6877440 in words is "six million, eight hundred seventy-seven thousand, four hundred forty".