816972800 has 264 divisors, whose sum is σ = 2388013824. Its totient is φ = 271319040.

The previous prime is 816972797. The next prime is 816972803. The reversal of 816972800 is 8279618.

It is an interprime number because it is at equal distance from previous prime (816972797) and next prime (816972803).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (816972803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8422352 + ... + 8422448.

Almost surely, 2^816972800 is an apocalyptic number.

816972800 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 816972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194006912).

816972800 is an abundant number, since it is smaller than the sum of its proper divisors (1571041024).

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

816972800 is a wasteful number, since it uses less digits than its factorization.

816972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 816972800 is about 28582.7360481813. The cubic root of 816972800 is about 934.8369414528.

The spelling of 816972800 in words is "eight hundred sixteen million, nine hundred seventy-two thousand, eight hundred".