82870720200 has 144 divisors (see below), whose sum is σ = 279292637520. Its totient is φ = 22020635520.

The previous prime is 82870720183. The next prime is 82870720259. The reversal of 82870720200 is 202707828.

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 35 ways as a sum of consecutive naturals, for example, 428059 + ... + 590741.

It is an arithmetic number, because the mean of its divisors is an integer number (1939532205).

Almost surely, 2^82870720200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82870720200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139646318760).

82870720200 is an abundant number, since it is smaller than the sum of its proper divisors (196421917320).

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

82870720200 is a wasteful number, since it uses less digits than its factorization.

82870720200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162988 (or 162976 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 82870720200 in words is "eighty-two billion, eight hundred seventy million, seven hundred twenty thousand, two hundred".