82788219072 has 448 divisors, whose sum is σ = 284844134400. Its totient is φ = 23350394880.

The previous prime is 82788219067. The next prime is 82788219077. The reversal of 82788219072 is 27091288728.

It is an interprime number because it is at equal distance from previous prime (82788219067) and next prime (82788219077).

It is a super-2 number, since 2×82788219072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82788219077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13228168 + ... + 13234424.

It is an arithmetic number, because the mean of its divisors is an integer number (635812800).

Almost surely, 2^82788219072 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 82788219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142422067200).

82788219072 is an abundant number, since it is smaller than the sum of its proper divisors (202055915328).

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

82788219072 is a wasteful number, since it uses less digits than its factorization.

82788219072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 82788219072 in words is "eighty-two billion, seven hundred eighty-eight million, two hundred nineteen thousand, seventy-two".