83212800 has 240 divisors, whose sum is σ = 301400352. Its totient is φ = 20070400.

The previous prime is 83212793. The next prime is 83212819. The reversal of 83212800 is 821238.

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 23 ways as a sum of consecutive naturals, for example, 422302 + ... + 422498.

Almost surely, 2^83212800 is an apocalyptic number.

83212800 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 83212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150700176).

83212800 is an abundant number, since it is smaller than the sum of its proper divisors (218187552).

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

83212800 is a wasteful number, since it uses less digits than its factorization.

83212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 83212800 is about 9122.1050202242. The cubic root of 83212800 is about 436.5795396228.

The spelling of 83212800 in words is "eighty-three million, two hundred twelve thousand, eight hundred".