84096800 has 72 divisors (see below), whose sum is σ = 211986432. Its totient is φ = 32544000.

The previous prime is 84096787. The next prime is 84096811. The reversal of 84096800 is 869048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23105 + ... + 26495.

It is an arithmetic number, because the mean of its divisors is an integer number (2944256).

Almost surely, 2^84096800 is an apocalyptic number.

84096800 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 84096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105993216).

84096800 is an abundant number, since it is smaller than the sum of its proper divisors (127889632).

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

84096800 is a wasteful number, since it uses less digits than its factorization.

84096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 84096800 is about 9170.4307423370. The cubic root of 84096800 is about 438.1200785567.

The spelling of 84096800 in words is "eighty-four million, ninety-six thousand, eight hundred".