851404800 has 288 divisors, whose sum is σ = 2949186240. Its totient is φ = 216268800.

The previous prime is 851404789. The next prime is 851404837. The reversal of 851404800 is 8404158.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3532680 + ... + 3532920.

It is an arithmetic number, because the mean of its divisors is an integer number (10240230).

Almost surely, 2^851404800 is an apocalyptic number.

851404800 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 851404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474593120).

851404800 is an abundant number, since it is smaller than the sum of its proper divisors (2097781440).

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

851404800 is a wasteful number, since it uses less digits than its factorization.

851404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 851404800 is about 29178.8416493870. The cubic root of 851404800 is about 947.7898018896.

Adding to 851404800 its reverse (8404158), we get a palindrome (859808958).

The spelling of 851404800 in words is "eight hundred fifty-one million, four hundred four thousand, eight hundred".