84008800 has 72 divisors (see below), whose sum is σ = 206611776. Its totient is φ = 33354240.

The previous prime is 84008789. The next prime is 84008801. The reversal of 84008800 is 880048.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84008801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138097 + ... + 138703.

It is an arithmetic number, because the mean of its divisors is an integer number (2869608).

Almost surely, 2^84008800 is an apocalyptic number.

84008800 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 84008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103305888).

84008800 is an abundant number, since it is smaller than the sum of its proper divisors (122602976).

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

84008800 is a wasteful number, since it uses less digits than its factorization.

84008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 84008800 is about 9165.6314566974. The cubic root of 84008800 is about 437.9672070137.

Adding to 84008800 its reverse (880048), we get a palindrome (84888848).

The spelling of 84008800 in words is "eighty-four million, eight thousand, eight hundred".