6776280 has 96 divisors (see below), whose sum is σ = 25178400. Its totient is φ = 1548288.

The previous prime is 6776279. The next prime is 6776281. The reversal of 6776280 is 826776.

It is an interprime number because it is at equal distance from previous prime (6776279) and next prime (6776281).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6776281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176 + ... + 3864.

It is an arithmetic number, because the mean of its divisors is an integer number (262275).

Almost surely, 2^6776280 is an apocalyptic number.

6776280 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 6776280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589200).

6776280 is an abundant number, since it is smaller than the sum of its proper divisors (18402120).

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

6776280 is a wasteful number, since it uses less digits than its factorization.

6776280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6776280 is about 2603.1288865517. The cubic root of 6776280 is about 189.2331045030.

It can be divided in two parts, 6776 and 280, that added together give a square (7056 = 84²).

The spelling of 6776280 in words is "six million, seven hundred seventy-six thousand, two hundred eighty".