6978589800 has 864 divisors, whose sum is σ = 29477800800. Its totient is φ = 1349913600.

The previous prime is 6978589789. The next prime is 6978589801. The reversal of 6978589800 is 89858796.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6978589801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 225115785 + ... + 225115815.

It is an arithmetic number, because the mean of its divisors is an integer number (34117825).

Almost surely, 2^6978589800 is an apocalyptic number.

6978589800 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 6978589800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738900400).

6978589800 is an abundant number, since it is smaller than the sum of its proper divisors (22499211000).

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

6978589800 is a wasteful number, since it uses less digits than its factorization.

6978589800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The square root of 6978589800 is about 83537.9542483535. The cubic root of 6978589800 is about 1910.9788938886.

It can be divided in two parts, 6978 and 589800, that added together give a triangular number (596778 = T₁₀₉₂).

The spelling of 6978589800 in words is "six billion, nine hundred seventy-eight million, five hundred eighty-nine thousand, eight hundred".