816061200 has 240 divisors, whose sum is σ = 2800892160. Its totient is φ = 202383360.

The previous prime is 816061199. The next prime is 816061243. The reversal of 816061200 is 2160618.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2223417 + ... + 2223783.

It is an arithmetic number, because the mean of its divisors is an integer number (11670384).

Almost surely, 2^816061200 is an apocalyptic number.

816061200 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 816061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400446080).

816061200 is an abundant number, since it is smaller than the sum of its proper divisors (1984830960).

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

816061200 is a wasteful number, since it uses less digits than its factorization.

816061200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 816061200 is about 28566.7849083512. The cubic root of 816061200 is about 934.4891067307.

The spelling of 816061200 in words is "eight hundred sixteen million, sixty-one thousand, two hundred".