82066800 has 60 divisors (see below), whose sum is σ = 262891160. Its totient is φ = 21884160.

The previous prime is 82066799. The next prime is 82066813. The reversal of 82066800 is 866028.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32995 + ... + 35394.

Almost surely, 2^82066800 is an apocalyptic number.

82066800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82066800 is an abundant number, since it is smaller than the sum of its proper divisors (180824360).

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

82066800 is a wasteful number, since it uses less digits than its factorization.

82066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68410 (or 68399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 82066800 is about 9059.0728002373. The cubic root of 82066800 is about 434.5660886555.

The spelling of 82066800 in words is "eighty-two million, sixty-six thousand, eight hundred".