83283200 has 324 divisors, whose sum is σ = 278294688. Its totient is φ = 23961600.

The previous prime is 83283181. The next prime is 83283203. The reversal of 83283200 is 238238.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 83283200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83283203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6406394 + ... + 6406406.

Almost surely, 2^83283200 is an apocalyptic number.

83283200 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 83283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139147344).

83283200 is an abundant number, since it is smaller than the sum of its proper divisors (195011488).

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

83283200 is a wasteful number, since it uses less digits than its factorization.

83283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 83283200 is about 9125.9629628878. The cubic root of 83283200 is about 436.7026237961.

It can be divided in two parts, 832 and 83200, that multiplied together give a square (69222400 = 8320²).

The spelling of 83283200 in words is "eighty-three million, two hundred eighty-three thousand, two hundred".