82808634762 has 144 divisors (see below), whose sum is σ = 224372903040. Its totient is φ = 21937257216.

The previous prime is 82808634757. The next prime is 82808634767. The reversal of 82808634762 is 26743680828.

It is an interprime number because it is at equal distance from previous prime (82808634757) and next prime (82808634767).

It is a super-2 number, since 2×82808634762² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82808634699 and 82808634708.

It is not an unprimeable number, because it can be changed into a prime (82808634767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 735058 + ... + 840194.

It is an arithmetic number, because the mean of its divisors is an integer number (1558145160).

Almost surely, 2^82808634762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82808634762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112186451520).

82808634762 is an abundant number, since it is smaller than the sum of its proper divisors (141564268278).

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

82808634762 is a wasteful number, since it uses less digits than its factorization.

82808634762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105225 (or 105215 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 82808634762 in words is "eighty-two billion, eight hundred eight million, six hundred thirty-four thousand, seven hundred sixty-two".