8978785200 has 1200 divisors, whose sum is σ = 41526270720. Its totient is φ = 1804032000.

The previous prime is 8978785183. The next prime is 8978785213. The reversal of 8978785200 is 25878798.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 147193170 + ... + 147193230.

Almost surely, 2^8978785200 is an apocalyptic number.

8978785200 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 8978785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20763135360).

8978785200 is an abundant number, since it is smaller than the sum of its proper divisors (32547485520).

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

8978785200 is a wasteful number, since it uses less digits than its factorization.

8978785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 8978785200 is about 94756.4520230681. The cubic root of 8978785200 is about 2078.4481459760.

The spelling of 8978785200 in words is "eight billion, nine hundred seventy-eight million, seven hundred eighty-five thousand, two hundred".