82617361600 has 336 divisors, whose sum is σ = 230156894016. Its totient is φ = 29016064000.

The previous prime is 82617361537. The next prime is 82617361609. The reversal of 82617361600 is 616371628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (82617361609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25647990 + ... + 25651210.

It is an arithmetic number, because the mean of its divisors is an integer number (684990756).

Almost surely, 2^82617361600 is an apocalyptic number.

82617361600 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 82617361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115078447008).

82617361600 is an abundant number, since it is smaller than the sum of its proper divisors (147539532416).

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

82617361600 is a wasteful number, since it uses less digits than its factorization.

82617361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 82617361600 in words is "eighty-two billion, six hundred seventeen million, three hundred sixty-one thousand, six hundred".