84280435200 has 1200 divisors, whose sum is σ = 347042970120. Its totient is φ = 20185251840.

The previous prime is 84280435199. The next prime is 84280435207. The reversal of 84280435200 is 253408248.

It can be written as a sum of positive squares in 12 ways, for example, as 19390005504 + 64890429696 = 139248^2 + 254736^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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 (84280435207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2277849582 + ... + 2277849618.

Almost surely, 2^84280435200 is an apocalyptic number.

84280435200 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 84280435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173521485060).

84280435200 is an abundant number, since it is smaller than the sum of its proper divisors (262762534920).

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

84280435200 is an equidigital number, since it uses as much as digits as its factorization.

84280435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 84280435200 in words is "eighty-four billion, two hundred eighty million, four hundred thirty-five thousand, two hundred".