8978230800 has 720 divisors, whose sum is σ = 39697756800. Its totient is φ = 1862784000.

The previous prime is 8978230769. The next prime is 8978230801. The reversal of 8978230800 is 80328798.

It is a tau number, because it is divible by the number of its divisors (720).

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 (8978230801) 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, 13582470 + ... + 13583130.

Almost surely, 2^8978230800 is an apocalyptic number.

8978230800 is a gapful number since it is divisible by the number (80) 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 8978230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19848878400).

8978230800 is an abundant number, since it is smaller than the sum of its proper divisors (30719526000).

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

8978230800 is a wasteful number, since it uses less digits than its factorization.

8978230800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8978230800 is about 94753.5265834470. The cubic root of 8978230800 is about 2078.4053667899.

It can be divided in two parts, 8978 and 230800, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 8978230800 in words is "eight billion, nine hundred seventy-eight million, two hundred thirty thousand, eight hundred".