6879730800 has 240 divisors, whose sum is σ = 23046778880. Its totient is φ = 1752192000.

The previous prime is 6879730789. The next prime is 6879730801. The reversal of 6879730800 is 80379786.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6879730800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6879730801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2937630 + ... + 2939970.

Almost surely, 2^6879730800 is an apocalyptic number.

6879730800 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 6879730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523389440).

6879730800 is an abundant number, since it is smaller than the sum of its proper divisors (16167048080).

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

6879730800 is a wasteful number, since it uses less digits than its factorization.

6879730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 6879730800 is about 82944.1426503403. The cubic root of 6879730800 is about 1901.9122760157.

The spelling of 6879730800 in words is "six billion, eight hundred seventy-nine million, seven hundred thirty thousand, eight hundred".