83282400 has 216 divisors, whose sum is σ = 301621320. Its totient is φ = 21611520.

The previous prime is 83282393. The next prime is 83282413. The reversal of 83282400 is 428238.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309466 + ... + 309734.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 2^83282400 is an apocalyptic number.

83282400 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 83282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150810660).

83282400 is an abundant number, since it is smaller than the sum of its proper divisors (218338920).

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

83282400 is a wasteful number, since it uses less digits than its factorization.

83282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 83282400 is about 9125.9191317916. The cubic root of 83282400 is about 436.7012255020.

The spelling of 83282400 in words is "eighty-three million, two hundred eighty-two thousand, four hundred".