82798848000 has 1152 divisors, whose sum is σ = 340424622720. Its totient is φ = 20072448000.

The previous prime is 82798847993. The next prime is 82798848029. The reversal of 82798848000 is 84889728.

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.

82798848000 is a `hidden beast` number, since 82 + 7 + 9 + 88 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×82798848000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7527167995 + ... + 7527168005.

It is an arithmetic number, because the mean of its divisors is an integer number (295507485).

Almost surely, 2^82798848000 is an apocalyptic number.

82798848000 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 82798848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170212311360).

82798848000 is an abundant number, since it is smaller than the sum of its proper divisors (257625774720).

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

82798848000 is an frugal number, since it uses more digits than its factorization.

82798848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 82798848000 in words is "eighty-two billion, seven hundred ninety-eight million, eight hundred forty-eight thousand".