6783480 has 128 divisors (see below), whose sum is σ = 24710400. Its totient is φ = 1641600.

The previous prime is 6783467. The next prime is 6783481. The reversal of 6783480 is 843876.

6783480 is digitally balanced in base 4 and base 5, because in such bases 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 (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6783481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11595 + ... + 12165.

It is an arithmetic number, because the mean of its divisors is an integer number (193050).

Almost surely, 2^6783480 is an apocalyptic number.

6783480 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 6783480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355200).

6783480 is an abundant number, since it is smaller than the sum of its proper divisors (17926920).

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

6783480 is a wasteful number, since it uses less digits than its factorization.

6783480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6783480 is about 2604.5114705065. The cubic root of 6783480 is about 189.3001027222.

The spelling of 6783480 in words is "six million, seven hundred eighty-three thousand, four hundred eighty".