8724800 has 168 divisors, whose sum is σ = 26456640. Its totient is φ = 2764800.

The previous prime is 8724799. The next prime is 8724803. The reversal of 8724800 is 84278.

8724800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8724800² = 152244270080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8724803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212780 + ... + 212820.

It is an arithmetic number, because the mean of its divisors is an integer number (157480).

Almost surely, 2^8724800 is an apocalyptic number.

8724800 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 8724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228320).

8724800 is an abundant number, since it is smaller than the sum of its proper divisors (17731840).

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

8724800 is a wasteful number, since it uses less digits than its factorization.

8724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 8724800 is about 2953.7772427859. Note that the first 3 decimals coincide. The cubic root of 8724800 is about 205.8662530828.

The spelling of 8724800 in words is "eight million, seven hundred twenty-four thousand, eight hundred".