8542800 has 240 divisors, whose sum is σ = 35057280. Its totient is φ = 1935360.

The previous prime is 8542777. The next prime is 8542811. The reversal of 8542800 is 82458.

8542800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 75544 + ... + 75656.

It is an arithmetic number, because the mean of its divisors is an integer number (146072).

Almost surely, 2^8542800 is an apocalyptic number.

8542800 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 8542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528640).

8542800 is an abundant number, since it is smaller than the sum of its proper divisors (26514480).

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

8542800 is a wasteful number, since it uses less digits than its factorization.

8542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8542800 is about 2922.8068701165. The cubic root of 8542800 is about 204.4247206695.

The spelling of 8542800 in words is "eight million, five hundred forty-two thousand, eight hundred".