8985880800 has 360 divisors, whose sum is σ = 35293819176. Its totient is φ = 2211701760.

The previous prime is 8985880793. The next prime is 8985880819. The reversal of 8985880800 is 80885898.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 837067 + ... + 847733.

Almost surely, 2^8985880800 is an apocalyptic number.

8985880800 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 8985880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646909588).

8985880800 is an abundant number, since it is smaller than the sum of its proper divisors (26307938376).

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

8985880800 is a wasteful number, since it uses less digits than its factorization.

8985880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712 (or 10690 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The square root of 8985880800 is about 94793.8858787844. The cubic root of 8985880800 is about 2078.9955085702.

It can be divided in two parts, 8985880 and 800, that added together give a triangular number (8986680 = T₄₂₃₉).

The spelling of 8985880800 in words is "eight billion, nine hundred eighty-five million, eight hundred eighty thousand, eight hundred".