6779040 has 96 divisors (see below), whose sum is σ = 22135680. Its totient is φ = 1741824.

The previous prime is 6779033. The next prime is 6779093. The reversal of 6779040 is 409776.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6778992 and 6779010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13677 + ... + 14163.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 2^6779040 is an apocalyptic number.

6779040 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 6779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067840).

6779040 is an abundant number, since it is smaller than the sum of its proper divisors (15356640).

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

6779040 is a wasteful number, since it uses less digits than its factorization.

6779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 6779040 is about 2603.6589638430. The cubic root of 6779040 is about 189.2587927604.

The spelling of 6779040 in words is "six million, seven hundred seventy-nine thousand, forty".