6779540 has 24 divisors (see below), whose sum is σ = 14473032. Its totient is φ = 2666880.

The previous prime is 6779537. The next prime is 6779557. The reversal of 6779540 is 459776.

It can be written as a sum of positive squares in 4 ways, for example, as 559504 + 6220036 = 748^2 + 2494^2 .

It is a super-2 number, since 2×6779540² = 91924325223200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6779494 and 6779503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1559 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (603043).

Almost surely, 2^6779540 is an apocalyptic number.

It is an amenable number.

6779540 is an abundant number, since it is smaller than the sum of its proper divisors (7693492).

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

6779540 is a wasteful number, since it uses less digits than its factorization.

6779540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 6779540 is about 2603.7549807922. The cubic root of 6779540 is about 189.2634456842.

The spelling of 6779540 in words is "six million, seven hundred seventy-nine thousand, five hundred forty".