816025200 has 240 divisors, whose sum is σ = 2740003200. Its totient is φ = 207334400.

The previous prime is 816025181. The next prime is 816025253. The reversal of 816025200 is 2520618.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 4558711 + ... + 4558889.

It is an arithmetic number, because the mean of its divisors is an integer number (11416680).

Almost surely, 2^816025200 is an apocalyptic number.

816025200 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 816025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370001600).

816025200 is an abundant number, since it is smaller than the sum of its proper divisors (1923978000).

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

816025200 is a wasteful number, since it uses less digits than its factorization.

816025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 816025200 is about 28566.1547989925. The cubic root of 816025200 is about 934.4753650724.

Adding to 816025200 its reverse (2520618), we get a palindrome (818545818).

The spelling of 816025200 in words is "eight hundred sixteen million, twenty-five thousand, two hundred".