8720800 has 72 divisors (see below), whose sum is σ = 23248512. Its totient is φ = 3168000.

The previous prime is 8720797. The next prime is 8720807. The reversal of 8720800 is 80278.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8720807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8305 + ... + 9295.

It is an arithmetic number, because the mean of its divisors is an integer number (322896).

Almost surely, 2^8720800 is an apocalyptic number.

8720800 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 8720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256).

8720800 is an abundant number, since it is smaller than the sum of its proper divisors (14527712).

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

8720800 is a wasteful number, since it uses less digits than its factorization.

8720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 8720800 is about 2953.1000660323. The cubic root of 8720800 is about 205.8347875712.

The spelling of 8720800 in words is "eight million, seven hundred twenty thousand, eight hundred".