82308757000 has 256 divisors, whose sum is σ = 207432576000. Its totient is φ = 30506112000.

The previous prime is 82308756991. The next prime is 82308757001. The reversal of 82308757000 is 75780328.

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 (82308757001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84766515 + ... + 84767485.

It is an arithmetic number, because the mean of its divisors is an integer number (810283500).

Almost surely, 2^82308757000 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 82308757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103716288000).

82308757000 is an abundant number, since it is smaller than the sum of its proper divisors (125123819000).

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

82308757000 is a wasteful number, since it uses less digits than its factorization.

82308757000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 82308757000 in words is "eighty-two billion, three hundred eight million, seven hundred fifty-seven thousand".