82680779520 has 432 divisors, whose sum is σ = 297783263232. Its totient is φ = 21157355520.

The previous prime is 82680779509. The next prime is 82680779521. The reversal of 82680779520 is 2597708628.

It is a happy number.

It is a super-2 number, since 2×82680779520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82680779521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45353329 + ... + 45355151.

Almost surely, 2^82680779520 is an apocalyptic number.

82680779520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82680779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148891631616).

82680779520 is an abundant number, since it is smaller than the sum of its proper divisors (215102483712).

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

82680779520 is a wasteful number, since it uses less digits than its factorization.

82680779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 82680779520 in words is "eighty-two billion, six hundred eighty million, seven hundred seventy-nine thousand, five hundred twenty".