6750480 has 80 divisors (see below), whose sum is σ = 22837824. Its totient is φ = 1635840.

The previous prime is 6750461. The next prime is 6750481. The reversal of 6750480 is 840576.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6750481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1362 + ... + 3918.

Almost surely, 2^6750480 is an apocalyptic number.

6750480 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 6750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418912).

6750480 is an abundant number, since it is smaller than the sum of its proper divisors (16087344).

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

6750480 is a wasteful number, since it uses less digits than its factorization.

6750480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6750480 is about 2598.1685857542. The cubic root of 6750480 is about 188.9926370973.

It can be divided in two parts, 6750 and 480, that multiplied together give a square (3240000 = 1800²).

The spelling of 6750480 in words is "six million, seven hundred fifty thousand, four hundred eighty".