82432800 has 162 divisors, whose sum is σ = 293420673. Its totient is φ = 21776640.

The previous prime is 82432799. The next prime is 82432807. The reversal of 82432800 is 823428.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 80784144 + 1648656 = 8988^2 + 1284^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6420.

It is not an unprimeable number, because it can be changed into a prime (82432807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 770347 + ... + 770453.

Almost surely, 2^82432800 is an apocalyptic number.

82432800 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 82432800

82432800 is an abundant number, since it is smaller than the sum of its proper divisors (210987873).

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

82432800 is a wasteful number, since it uses less digits than its factorization.

82432800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 117 counting only the distinct ones).

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

The square root of 82432800 is about 9079.2510704353. The cubic root of 82432800 is about 435.2111539277.

The spelling of 82432800 in words is "eighty-two million, four hundred thirty-two thousand, eight hundred".