8980120800 has 864 divisors, whose sum is σ = 39309484032. Its totient is φ = 1882275840.

The previous prime is 8980120789. The next prime is 8980120811. The reversal of 8980120800 is 80210898.

It is an interprime number because it is at equal distance from previous prime (8980120789) and next prime (8980120811).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40269489 + ... + 40269711.

It is an arithmetic number, because the mean of its divisors is an integer number (45497088).

Almost surely, 2^8980120800 is an apocalyptic number.

8980120800 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 8980120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19654742016).

8980120800 is an abundant number, since it is smaller than the sum of its proper divisors (30329363232).

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

8980120800 is a wasteful number, since it uses less digits than its factorization.

8980120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8980120800 is about 94763.4993022102. The cubic root of 8980120800 is about 2078.5511976937.

The spelling of 8980120800 in words is "eight billion, nine hundred eighty million, one hundred twenty thousand, eight hundred".