6780480 has 112 divisors (see below), whose sum is σ = 24627840. Its totient is φ = 1548288.

The previous prime is 6780479. The next prime is 6780481. The reversal of 6780480 is 840876.

6780480 = T₂₉ + T₃₀ + ... + T₃₄₃.

It is an interprime number because it is at equal distance from previous prime (6780479) and next prime (6780481).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (6780481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6216 + ... + 7224.

Almost surely, 2^6780480 is an apocalyptic number.

6780480 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 6780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12313920).

6780480 is an abundant number, since it is smaller than the sum of its proper divisors (17847360).

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

6780480 is a wasteful number, since it uses less digits than its factorization.

6780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6780480 is about 2603.9354830717. The cubic root of 6780480 is about 189.2721925617.

It can be divided in two parts, 6780 and 480, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 6780480 in words is "six million, seven hundred eighty thousand, four hundred eighty".