6877788480 has 168 divisors, whose sum is σ = 24472773000. Its totient is φ = 1770811392.

The previous prime is 6877788469. The next prime is 6877788529. The reversal of 6877788480 is 848877786.

6877788480 is a `hidden beast` number, since 6 + 8 + 7 + 77 + 88 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1231167744 + 5646620736 = 35088^2 + 75144^2 .

It is a congruent number.

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, 42346 + ... + 124694.

Almost surely, 2^6877788480 is an apocalyptic number.

6877788480 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 6877788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236386500).

6877788480 is an abundant number, since it is smaller than the sum of its proper divisors (17594984520).

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

6877788480 is a wasteful number, since it uses less digits than its factorization.

6877788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82401 (or 82388 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The square root of 6877788480 is about 82932.4332212675. The cubic root of 6877788480 is about 1901.7332733744.

The spelling of 6877788480 in words is "six billion, eight hundred seventy-seven million, seven hundred eighty-eight thousand, four hundred eighty".