83980800000 has 702 divisors, whose sum is σ = 314853406686. Its totient is φ = 22394880000.

The previous prime is 83980799977. The next prime is 83980800049. The reversal of 83980800000 is 808938.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 38805848064 + 45174951936 = 196992^2 + 212544^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16796159998 + ... + 16796160002.

Almost surely, 2^83980800000 is an apocalyptic number.

83980800000 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 83980800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157426703343).

83980800000 is an abundant number, since it is smaller than the sum of its proper divisors (230872606686).

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

83980800000 is an frugal number, since it uses more digits than its factorization.

83980800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 83980800000 in words is "eighty-three billion, nine hundred eighty million, eight hundred thousand".