82716900 has 216 divisors, whose sum is σ = 295668576. Its totient is φ = 17740800.

The previous prime is 82716889. The next prime is 82716911. The reversal of 82716900 is 961728.

It is an interprime number because it is at equal distance from previous prime (82716889) and next prime (82716911).

It is a super-2 number, since 2×82716900² = 13684171091220000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 249735 + ... + 250065.

It is an arithmetic number, because the mean of its divisors is an integer number (1368836).

Almost surely, 2^82716900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82716900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147834288).

82716900 is an abundant number, since it is smaller than the sum of its proper divisors (212951676).

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

82716900 is a wasteful number, since it uses less digits than its factorization.

82716900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 82716900 is about 9094.8831768198. The cubic root of 82716900 is about 435.7105575499.

The spelling of 82716900 in words is "eighty-two million, seven hundred sixteen thousand, nine hundred".