6877805760 has 672 divisors, whose sum is σ = 28398045312. Its totient is φ = 1495203840.

The previous prime is 6877805749. The next prime is 6877805789. The reversal of 6877805760 is 675087786.

6877805760 is a `hidden beast` number, since 68 + 7 + 7 + 8 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 6877805697 and 6877805706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43807602 + ... + 43807758.

It is an arithmetic number, because the mean of its divisors is an integer number (42258996).

Almost surely, 2^6877805760 is an apocalyptic number.

6877805760 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 6877805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199022656).

6877805760 is an abundant number, since it is smaller than the sum of its proper divisors (21520239552).

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

6877805760 is a wasteful number, since it uses less digits than its factorization.

6877805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

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

The square root of 6877805760 is about 82932.5374023971. The cubic root of 6877805760 is about 1901.7348660338.

The spelling of 6877805760 in words is "six billion, eight hundred seventy-seven million, eight hundred five thousand, seven hundred sixty".