6783977760 has 96 divisors (see below), whose sum is σ = 24422332032. Its totient is φ = 1550622720.

The previous prime is 6783977749. The next prime is 6783977777. The reversal of 6783977760 is 677793876.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6783977694 and 6783977703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006161 + ... + 1012880.

It is an arithmetic number, because the mean of its divisors is an integer number (254399292).

Almost surely, 2^6783977760 is an apocalyptic number.

6783977760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6783977760 is an abundant number, since it is smaller than the sum of its proper divisors (17638354272).

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

6783977760 is a wasteful number, since it uses less digits than its factorization.

6783977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019066 (or 2019058 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 60.

The square root of 6783977760 is about 82364.9061190505. The cubic root of 6783977760 is about 1893.0473278006.

The spelling of 6783977760 in words is "six billion, seven hundred eighty-three million, nine hundred seventy-seven thousand, seven hundred sixty".