84543782400 has 1440 divisors, whose sum is σ = 392295391488. Its totient is φ = 17517772800.

The previous prime is 84543782387. The next prime is 84543782417. The reversal of 84543782400 is 428734548.

It is a happy number.

84543782400 is a `hidden beast` number, since 84 + 543 + 7 + 8 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×84543782400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239500624 + ... + 239500976.

Almost surely, 2^84543782400 is an apocalyptic number.

84543782400 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 84543782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196147695744).

84543782400 is an abundant number, since it is smaller than the sum of its proper divisors (307751609088).

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

84543782400 is a wasteful number, since it uses less digits than its factorization.

84543782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 84543782400 in words is "eighty-four billion, five hundred forty-three million, seven hundred eighty-two thousand, four hundred".