6872808600 has 432 divisors, whose sum is σ = 27785721600. Its totient is φ = 1516193280.

The previous prime is 6872808589. The next prime is 6872808619. The reversal of 6872808600 is 68082786.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2556457 + ... + 2559143.

It is an arithmetic number, because the mean of its divisors is an integer number (64318800).

Almost surely, 2^6872808600 is an apocalyptic number.

6872808600 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 6872808600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892860800).

6872808600 is an abundant number, since it is smaller than the sum of its proper divisors (20912913000).

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

6872808600 is a wasteful number, since it uses less digits than its factorization.

6872808600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6872808600 is about 82902.4040664684. The cubic root of 6872808600 is about 1901.2741776379.

The spelling of 6872808600 in words is "six billion, eight hundred seventy-two million, eight hundred eight thousand, six hundred".