82348800 has 108 divisors (see below), whose sum is σ = 271831560. Its totient is φ = 21954560.

The previous prime is 82348781. The next prime is 82348801. The reversal of 82348800 is 884328.

It is a super-2 number, since 2×82348800² = 13562649722880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82348801) 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, 17056 + ... + 21344.

Almost surely, 2^82348800 is an apocalyptic number.

82348800 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 82348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135915780).

82348800 is an abundant number, since it is smaller than the sum of its proper divisors (189482760).

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

82348800 is a wasteful number, since it uses less digits than its factorization.

82348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 82348800 is about 9074.6239591511. The cubic root of 82348800 is about 435.0632752452.

The spelling of 82348800 in words is "eighty-two million, three hundred forty-eight thousand, eight hundred".