6877807560 has 192 divisors, whose sum is σ = 24849377280. Its totient is φ = 1638351360.

The previous prime is 6877807439. The next prime is 6877807583. The reversal of 6877807560 is 657087786.

6877807560 is a `hidden beast` number, since 6 + 8 + 7 + 78 + 0 + 7 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6877807497 and 6877807506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121377 + ... + 168783.

It is an arithmetic number, because the mean of its divisors is an integer number (129423840).

Almost surely, 2^6877807560 is an apocalyptic number.

6877807560 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 6877807560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12424688640).

6877807560 is an abundant number, since it is smaller than the sum of its proper divisors (17971569720).

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

6877807560 is a wasteful number, since it uses less digits than its factorization.

6877807560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47468 (or 47461 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The square root of 6877807560 is about 82932.5482545906. The cubic root of 6877807560 is about 1901.7350319356.

The spelling of 6877807560 in words is "six billion, eight hundred seventy-seven million, eight hundred seven thousand, five hundred sixty".