82476800 has 162 divisors, whose sum is σ = 238375368. Its totient is φ = 28170240.

The previous prime is 82476769. The next prime is 82476803. The reversal of 82476800 is 867428.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82476803) 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 17 ways as a sum of consecutive naturals, for example, 313469 + ... + 313731.

Almost surely, 2^82476800 is an apocalyptic number.

82476800 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 82476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119187684).

82476800 is an abundant number, since it is smaller than the sum of its proper divisors (155898568).

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

82476800 is a wasteful number, since it uses less digits than its factorization.

82476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 82476800 is about 9081.6738545270. The cubic root of 82476800 is about 435.2885740998.

The spelling of 82476800 in words is "eighty-two million, four hundred seventy-six thousand, eight hundred".