8920800 has 288 divisors, whose sum is σ = 37497600. Its totient is φ = 2004480.

The previous prime is 8920783. The next prime is 8920817. The reversal of 8920800 is 80298.

It is an interprime number because it is at equal distance from previous prime (8920783) and next prime (8920817).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151171 + ... + 151229.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 2^8920800 is an apocalyptic number.

8920800 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 8920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

8920800 is an abundant number, since it is smaller than the sum of its proper divisors (28576800).

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

8920800 is a wasteful number, since it uses less digits than its factorization.

8920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8920800 is about 2986.7708315169. The cubic root of 8920800 is about 207.3964257854.

The spelling of 8920800 in words is "eight million, nine hundred twenty thousand, eight hundred".