82329600 has 180 divisors, whose sum is σ = 276291344. Its totient is φ = 21626880.

The previous prime is 82329557. The next prime is 82329607. The reversal of 82329600 is 692328.

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

It is not an unprimeable number, because it can be changed into a prime (82329607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1228767 + ... + 1228833.

Almost surely, 2^82329600 is an apocalyptic number.

82329600 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 82329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138145672).

82329600 is an abundant number, since it is smaller than the sum of its proper divisors (193961744).

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

82329600 is an equidigital number, since it uses as much as digits as its factorization.

82329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 82329600 is about 9073.5660024050. The cubic root of 82329600 is about 435.0294602851.

The spelling of 82329600 in words is "eighty-two million, three hundred twenty-nine thousand, six hundred".