6778980 has 72 divisors (see below), whose sum is σ = 22152312. Its totient is φ = 1668096.

The previous prime is 6778973. The next prime is 6779023. The reversal of 6778980 is 898776.

6778980 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 6718464 = 246^2 + 2592^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 892 + ... + 3788.

It is an arithmetic number, because the mean of its divisors is an integer number (307671).

Almost surely, 2^6778980 is an apocalyptic number.

6778980 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 6778980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11076156).

6778980 is an abundant number, since it is smaller than the sum of its proper divisors (15373332).

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

6778980 is a wasteful number, since it uses less digits than its factorization.

6778980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 6778980 is about 2603.6474415712. The cubic root of 6778980 is about 189.2582343942.

The spelling of 6778980 in words is "six million, seven hundred seventy-eight thousand, nine hundred eighty".