82841875200 has 1080 divisors, whose sum is σ = 360105722592. Its totient is φ = 18393661440.

The previous prime is 82841875199. The next prime is 82841875217. The reversal of 82841875200 is 257814828.

It is a happy number.

82841875200 is a `hidden beast` number, since 8 + 2 + 8 + 41 + 87 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134265292 + ... + 134265908.

Almost surely, 2^82841875200 is an apocalyptic number.

82841875200 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 82841875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180052861296).

82841875200 is an abundant number, since it is smaller than the sum of its proper divisors (277263847392).

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

82841875200 is a wasteful number, since it uses less digits than its factorization.

82841875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 82841875200 in words is "eighty-two billion, eight hundred forty-one million, eight hundred seventy-five thousand, two hundred".