816285600 has 864 divisors, whose sum is σ = 3582895680. Its totient is φ = 179159040.

The previous prime is 816285599. The next prime is 816285637. The reversal of 816285600 is 6582618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1950 × 1938 × 216.

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 143 ways as a sum of consecutive naturals, for example, 42962391 + ... + 42962409.

It is an arithmetic number, because the mean of its divisors is an integer number (4146870).

Almost surely, 2^816285600 is an apocalyptic number.

816285600 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 816285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791447840).

816285600 is an abundant number, since it is smaller than the sum of its proper divisors (2766610080).

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

816285600 is a wasteful number, since it uses less digits than its factorization.

816285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 816285600 is about 28570.7122767354. The cubic root of 816285600 is about 934.5747539581.

The spelling of 816285600 in words is "eight hundred sixteen million, two hundred eighty-five thousand, six hundred".