82071792000 has 1536 divisors, whose sum is σ = 354468441600. Its totient is φ = 18662400000.

The previous prime is 82071791983. The next prime is 82071792037. The reversal of 82071792000 is 29717028.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 812591950 + ... + 812592050.

It is an arithmetic number, because the mean of its divisors is an integer number (230773725).

Almost surely, 2^82071792000 is an apocalyptic number.

82071792000 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 82071792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177234220800).

82071792000 is an abundant number, since it is smaller than the sum of its proper divisors (272396649600).

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

82071792000 is a wasteful number, since it uses less digits than its factorization.

82071792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 82071792000 in words is "eighty-two billion, seventy-one million, seven hundred ninety-two thousand".