83216800 has 36 divisors (see below), whose sum is σ = 203154966. Its totient is φ = 33286400.

The previous prime is 83216779. The next prime is 83216801. The reversal of 83216800 is 861238.

It can be written as a sum of positive squares in 3 ways, for example, as 69288976 + 13927824 = 8324^2 + 3732^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83216801) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 51211 + ... + 52810.

Almost surely, 2^83216800 is an apocalyptic number.

83216800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83216800 is an abundant number, since it is smaller than the sum of its proper divisors (119938166).

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

83216800 is a wasteful number, since it uses less digits than its factorization.

83216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104041 (or 104028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 83216800 is about 9122.3242652298. The cubic root of 83216800 is about 436.5865349015.

The spelling of 83216800 in words is "eighty-three million, two hundred sixteen thousand, eight hundred".