82002795756 has 144 divisors (see below), whose sum is σ = 243275139072. Its totient is φ = 21339763200.

The previous prime is 82002795691. The next prime is 82002795829. The reversal of 82002795756 is 65759720028.

It is a super-2 number, since 2×82002795756² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 82002795699 and 82002795708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177561 + ... + 442191.

It is an arithmetic number, because the mean of its divisors is an integer number (1689410688).

Almost surely, 2^82002795756 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 82002795756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121637569536).

82002795756 is an abundant number, since it is smaller than the sum of its proper divisors (161272343316).

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

82002795756 is a wasteful number, since it uses less digits than its factorization.

82002795756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264700 (or 264691 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 82002795756 in words is "eighty-two billion, two million, seven hundred ninety-five thousand, seven hundred fifty-six".