6878868300 has 432 divisors, whose sum is σ = 24113456640. Its totient is φ = 1695479040.

The previous prime is 6878868277. The next prime is 6878868301. The reversal of 6878868300 is 38688786.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6878868301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21699742 + ... + 21700058.

Almost surely, 2^6878868300 is an apocalyptic number.

6878868300 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 6878868300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056728320).

6878868300 is an abundant number, since it is smaller than the sum of its proper divisors (17234588340).

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

6878868300 is a wasteful number, since it uses less digits than its factorization.

6878868300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

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

The square root of 6878868300 is about 82938.9432052278. The cubic root of 6878868300 is about 1901.8327928720.

The spelling of 6878868300 in words is "six billion, eight hundred seventy-eight million, eight hundred sixty-eight thousand, three hundred".