6803888760 has 256 divisors, whose sum is σ = 23248512000. Its totient is φ = 1769402880.

The previous prime is 6803888759. The next prime is 6803888761. The reversal of 6803888760 is 678883086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6803888759) and next prime (6803888761).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6803888697 and 6803888706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6803888761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9156949 + ... + 9157691.

It is an arithmetic number, because the mean of its divisors is an integer number (90814500).

Almost surely, 2^6803888760 is an apocalyptic number.

6803888760 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 6803888760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256000).

6803888760 is an abundant number, since it is smaller than the sum of its proper divisors (16444623240).

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

6803888760 is a wasteful number, since it uses less digits than its factorization.

6803888760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 6803888760 is about 82485.6882131682. The cubic root of 6803888760 is about 1894.8975524940.

The spelling of 6803888760 in words is "six billion, eight hundred three million, eight hundred eighty-eight thousand, seven hundred sixty".