851212800 has 300 divisors, whose sum is σ = 3154238406. Its totient is φ = 226713600.

The previous prime is 851212799. The next prime is 851212829. The reversal of 851212800 is 8212158.

It can be written as a sum of positive squares in 3 ways, for example, as 537497856 + 313714944 = 23184^2 + 17712^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036390 + ... + 1037210.

Almost surely, 2^851212800 is an apocalyptic number.

851212800 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 851212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577119203).

851212800 is an abundant number, since it is smaller than the sum of its proper divisors (2303025606).

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

851212800 is an equidigital number, since it uses as much as digits as its factorization.

851212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 851212800 is about 29175.5514086709. The cubic root of 851212800 is about 947.7185512840.

Adding to 851212800 its reverse (8212158), we get a palindrome (859424958).

It can be divided in two parts, 8512 and 12800, that added together give a palindrome (21312).

The spelling of 851212800 in words is "eight hundred fifty-one million, two hundred twelve thousand, eight hundred".