852721800 has 192 divisors, whose sum is σ = 3125692800. Its totient is φ = 188160000.

The previous prime is 852721783. The next prime is 852721817. The reversal of 852721800 is 8127258.

It is an interprime number because it is at equal distance from previous prime (852721783) and next prime (852721817).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118300 + ... + 125300.

It is an arithmetic number, because the mean of its divisors is an integer number (16279650).

Almost surely, 2^852721800 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 852721800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562846400).

852721800 is an abundant number, since it is smaller than the sum of its proper divisors (2272971000).

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

852721800 is a wasteful number, since it uses less digits than its factorization.

852721800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 852721800 is about 29201.4006513386. The cubic root of 852721800 is about 948.2782480069.

The spelling of 852721800 in words is "eight hundred fifty-two million, seven hundred twenty-one thousand, eight hundred".