6781320 has 320 divisors, whose sum is σ = 29272320. Its totient is φ = 1368576.

The previous prime is 6781319. The next prime is 6781321. The reversal of 6781320 is 231876.

It is an interprime number because it is at equal distance from previous prime (6781319) and next prime (6781321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6781321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294829 + ... + 294851.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

Almost surely, 2^6781320 is an apocalyptic number.

6781320 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 6781320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

6781320 is an abundant number, since it is smaller than the sum of its proper divisors (22491000).

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

6781320 is a wasteful number, since it uses less digits than its factorization.

6781320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6781320 is about 2604.0967723954. The cubic root of 6781320 is about 189.2800082363.

The spelling of 6781320 in words is "six million, seven hundred eighty-one thousand, three hundred twenty".