82276800 has 168 divisors, whose sum is σ = 275338032. Its totient is φ = 21504000.

The previous prime is 82276763. The next prime is 82276801. The reversal of 82276800 is 867228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82276801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292660 + ... + 292940.

Almost surely, 2^82276800 is an apocalyptic number.

82276800 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 82276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137669016).

82276800 is an abundant number, since it is smaller than the sum of its proper divisors (193061232).

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

82276800 is a wasteful number, since it uses less digits than its factorization.

82276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82276800 is about 9070.6559850983. The cubic root of 82276800 is about 434.9364420286.

The spelling of 82276800 in words is "eighty-two million, two hundred seventy-six thousand, eight hundred".