6777777888 has 432 divisors, whose sum is σ = 23764890240. Its totient is φ = 1794203136.

The previous prime is 6777777857. The next prime is 6777777913. The reversal of 6777777888 is 8887777776.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48760923 + ... + 48761061.

It is an arithmetic number, because the mean of its divisors is an integer number (55011320).

Almost surely, 2^6777777888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6777777888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882445120).

6777777888 is an abundant number, since it is smaller than the sum of its proper divisors (16987112352).

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

6777777888 is a wasteful number, since it uses less digits than its factorization.

6777777888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 237 counting only the distinct ones).

The product of its digits is 361417728, while the sum is 72.

The square root of 6777777888 is about 82327.2609042716. The cubic root of 6777777888 is about 1892.4704672071.

The spelling of 6777777888 in words is "six billion, seven hundred seventy-seven million, seven hundred seventy-seven thousand, eight hundred eighty-eight".