80239824000 has 768 divisors, whose sum is σ = 343745026560. Its totient is φ = 17538048000.

The previous prime is 80239823969. The next prime is 80239824029. The reversal of 80239824000 is 42893208.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23182270 + ... + 23185730.

It is an arithmetic number, because the mean of its divisors is an integer number (447584670).

Almost surely, 2^80239824000 is an apocalyptic number.

80239824000 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 80239824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171872513280).

80239824000 is an abundant number, since it is smaller than the sum of its proper divisors (263505202560).

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

80239824000 is a wasteful number, since it uses less digits than its factorization.

80239824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 80239824000 in words is "eighty billion, two hundred thirty-nine million, eight hundred twenty-four thousand".