82336800 has 432 divisors, whose sum is σ = 343103040. Its totient is φ = 16773120.

The previous prime is 82336781. The next prime is 82336819. The reversal of 82336800 is 863328.

It is an interprime number because it is at equal distance from previous prime (82336781) and next prime (82336819).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2839186 + ... + 2839214.

It is an arithmetic number, because the mean of its divisors is an integer number (794220).

Almost surely, 2^82336800 is an apocalyptic number.

82336800 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 82336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171551520).

82336800 is an abundant number, since it is smaller than the sum of its proper divisors (260766240).

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

82336800 is a wasteful number, since it uses less digits than its factorization.

82336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 82336800 is about 9073.9627506399. The cubic root of 82336800 is about 435.0421415112.

The spelling of 82336800 in words is "eighty-two million, three hundred thirty-six thousand, eight hundred".