84082752000 has 1280 divisors, whose sum is σ = 353902348800. Its totient is φ = 19508428800.

The previous prime is 84082751983. The next prime is 84082752001. The reversal of 84082752000 is 25728048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84082752001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 426815902 + ... + 426816098.

It is an arithmetic number, because the mean of its divisors is an integer number (276486210).

Almost surely, 2^84082752000 is an apocalyptic number.

84082752000 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 84082752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176951174400).

84082752000 is an abundant number, since it is smaller than the sum of its proper divisors (269819596800).

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

84082752000 is a wasteful number, since it uses less digits than its factorization.

84082752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 84082752000 in words is "eighty-four billion, eighty-two million, seven hundred fifty-two thousand".