6754880 has 112 divisors (see below), whose sum is σ = 18653760. Its totient is φ = 2304000.

The previous prime is 6754879. The next prime is 6754889. The reversal of 6754880 is 884576.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (6754889) 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, 66830 + ... + 66930.

Almost surely, 2^6754880 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 6754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326880).

6754880 is an abundant number, since it is smaller than the sum of its proper divisors (11898880).

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

6754880 is a wasteful number, since it uses less digits than its factorization.

6754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 6754880 is about 2599.0151981087. The cubic root of 6754880 is about 189.0336903259.

It can be divided in two parts, 675 and 4880, that added together give a palindrome (5555).

The spelling of 6754880 in words is "six million, seven hundred fifty-four thousand, eight hundred eighty".