853516800 has 360 divisors, whose sum is σ = 3166225920. Its totient is φ = 219340800.

The previous prime is 853516799. The next prime is 853516817. The reversal of 853516800 is 8615358.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 3571081 + ... + 3571319.

It is an arithmetic number, because the mean of its divisors is an integer number (8795072).

Almost surely, 2^853516800 is an apocalyptic number.

853516800 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 853516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583112960).

853516800 is an abundant number, since it is smaller than the sum of its proper divisors (2312709120).

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

853516800 is a wasteful number, since it uses less digits than its factorization.

853516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 853516800 is about 29215.0098408335. The cubic root of 853516800 is about 948.5728525095.

It can be divided in two parts, 853 and 516800, that added together give a triangular number (517653 = T₁₀₁₇).

The spelling of 853516800 in words is "eight hundred fifty-three million, five hundred sixteen thousand, eight hundred".