82770932736 has 132 divisors (see below), whose sum is σ = 243510129252. Its totient is φ = 27069579264.

The previous prime is 82770932731. The next prime is 82770932801. The reversal of 82770932736 is 63723907728.

It can be written as a sum of positive squares in 2 ways, for example, as 65699942400 + 17070990336 = 256320^2 + 130656^2 .

It is a super-3 number, since 3×82770932736³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82770932731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403720 + ... + 573176.

Almost surely, 2^82770932736 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 82770932736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121755064626).

82770932736 is an abundant number, since it is smaller than the sum of its proper divisors (160739196516).

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

82770932736 is a wasteful number, since it uses less digits than its factorization.

82770932736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169536 (or 169515 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 82770932736 in words is "eighty-two billion, seven hundred seventy million, nine hundred thirty-two thousand, seven hundred thirty-six".