6746880 has 144 divisors (see below), whose sum is σ = 24724224. Its totient is φ = 1536000.

The previous prime is 6746863. The next prime is 6746903. The reversal of 6746880 is 886476.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26755 + ... + 27005.

It is an arithmetic number, because the mean of its divisors is an integer number (171696).

Almost surely, 2^6746880 is an apocalyptic number.

6746880 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 6746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112).

6746880 is an abundant number, since it is smaller than the sum of its proper divisors (17977344).

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

6746880 is a wasteful number, since it uses less digits than its factorization.

6746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 6746880 is about 2597.4756976726. The cubic root of 6746880 is about 188.9590348213.

It can be divided in two parts, 6746 and 880, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 6746880 in words is "six million, seven hundred forty-six thousand, eight hundred eighty".