82302607008 has 672 divisors, whose sum is σ = 271293442560. Its totient is φ = 24455208960.

The previous prime is 82302606961. The next prime is 82302607069. The reversal of 82302607008 is 80070620328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1041805113 + ... + 1041805191.

It is an arithmetic number, because the mean of its divisors is an integer number (403710480).

Almost surely, 2^82302607008 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 82302607008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135646721280).

82302607008 is an abundant number, since it is smaller than the sum of its proper divisors (188990835552).

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

82302607008 is a wasteful number, since it uses less digits than its factorization.

82302607008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 82302607008 in words is "eighty-two billion, three hundred two million, six hundred seven thousand, eight".