6878232900 has 486 divisors, whose sum is σ = 27587941290. Its totient is φ = 1428134400.

The previous prime is 6878232899. The next prime is 6878232901. The reversal of 6878232900 is 92328786.

It is an interprime number because it is at equal distance from previous prime (6878232899) and next prime (6878232901).

It can be written as a sum of positive squares in 3 ways, for example, as 1137443076 + 5740789824 = 33726^2 + 75768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6878232901) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 5335456 + ... + 5336744.

Almost surely, 2^6878232900 is an apocalyptic number.

6878232900 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 6878232900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13793970645).

6878232900 is an abundant number, since it is smaller than the sum of its proper divisors (20709708390).

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

6878232900 is a wasteful number, since it uses less digits than its factorization.

6878232900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6878232900 is about 82935.1125880950. The cubic root of 6878232900 is about 1901.7742337354.

It can be divided in two parts, 6878 and 232900, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 6878232900 in words is "six billion, eight hundred seventy-eight million, two hundred thirty-two thousand, nine hundred".