82830658770 has 192 divisors, whose sum is σ = 235568196864. Its totient is φ = 20132259840.

The previous prime is 82830658741. The next prime is 82830658891. The reversal of 82830658770 is 7785603828.

82830658770 is a `hidden beast` number, since 8 + 28 + 30 + 6 + 587 + 7 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3638062 + ... + 3660758.

It is an arithmetic number, because the mean of its divisors is an integer number (1226917692).

Almost surely, 2^82830658770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82830658770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117784098432).

82830658770 is an abundant number, since it is smaller than the sum of its proper divisors (152737538094).

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

82830658770 is a wasteful number, since it uses less digits than its factorization.

82830658770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22817 (or 22814 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 82830658770 in words is "eighty-two billion, eight hundred thirty million, six hundred fifty-eight thousand, seven hundred seventy".