6777780 has 48 divisors (see below), whose sum is σ = 19220544. Its totient is φ = 1784320.

The previous prime is 6777769. The next prime is 6777803. The reversal of 6777780 is 877776.

It is an Ulam number.

It is a congruent number.

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, 4300 + ... + 5660.

It is an arithmetic number, because the mean of its divisors is an integer number (400428).

Almost surely, 2^6777780 is an apocalyptic number.

6777780 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 6777780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610272).

6777780 is an abundant number, since it is smaller than the sum of its proper divisors (12442764).

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

6777780 is a wasteful number, since it uses less digits than its factorization.

6777780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 42.

The square root of 6777780 is about 2603.4169854251. The cubic root of 6777780 is about 189.2470663776.

It can be divided in two parts, 6777 and 780, that added together give a palindrome (7557).

The spelling of 6777780 in words is "six million, seven hundred seventy-seven thousand, seven hundred eighty".