6779880 has 96 divisors (see below), whose sum is σ = 22674600. Its totient is φ = 1755648.

The previous prime is 6779863. The next prime is 6779911. The reversal of 6779880 is 889776.

6779880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6749604 + 30276 = 2598^2 + 174^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13066 + ... + 13574.

Almost surely, 2^6779880 is an apocalyptic number.

6779880 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 6779880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337300).

6779880 is an abundant number, since it is smaller than the sum of its proper divisors (15894720).

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

6779880 is a wasteful number, since it uses less digits than its factorization.

6779880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

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

The square root of 6779880 is about 2603.8202702952. The cubic root of 6779880 is about 189.2666095417.

The spelling of 6779880 in words is "six million, seven hundred seventy-nine thousand, eight hundred eighty".