6677720 has 48 divisors (see below), whose sum is σ = 17483040. Its totient is φ = 2288832.

The previous prime is 6677707. The next prime is 6677729. The reversal of 6677720 is 277766.

6677720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257 + ... + 3663.

It is an arithmetic number, because the mean of its divisors is an integer number (364230).

Almost surely, 2^6677720 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 6677720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8741520).

6677720 is an abundant number, since it is smaller than the sum of its proper divisors (10805320).

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

6677720 is a wasteful number, since it uses less digits than its factorization.

6677720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 6677720 is about 2584.1284797780. The cubic root of 6677720 is about 188.3111641921.

Subtracting from 6677720 its sum of digits (35), we obtain a triangular number (6677685 = T₃₆₅₄).

The spelling of 6677720 in words is "six million, six hundred seventy-seven thousand, seven hundred twenty".