82813906770 has 96 divisors (see below), whose sum is σ = 231647128128. Its totient is φ = 18892524672.

The previous prime is 82813906733. The next prime is 82813906783. The reversal of 82813906770 is 7760931828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714952 + ... + 822668.

It is an arithmetic number, because the mean of its divisors is an integer number (2412990918).

Almost surely, 2^82813906770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82813906770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115823564064).

82813906770 is an abundant number, since it is smaller than the sum of its proper divisors (148833221358).

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

82813906770 is a wasteful number, since it uses less digits than its factorization.

82813906770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108264 (or 108257 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 82813906770 in words is "eighty-two billion, eight hundred thirteen million, nine hundred six thousand, seven hundred seventy".