84789600 has 288 divisors, whose sum is σ = 324979200. Its totient is φ = 19192320.

The previous prime is 84789589. The next prime is 84789611. The reversal of 84789600 is 698748.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84789589) and next prime (84789611).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823149 + ... + 823251.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^84789600 is an apocalyptic number.

84789600 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 84789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

84789600 is an abundant number, since it is smaller than the sum of its proper divisors (240189600).

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

84789600 is a wasteful number, since it uses less digits than its factorization.

84789600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 84789600 is about 9208.1268453470. The cubic root of 84789600 is about 439.3198859190.

The spelling of 84789600 in words is "eighty-four million, seven hundred eighty-nine thousand, six hundred".