82677700000 has 432 divisors, whose sum is σ = 242376986880. Its totient is φ = 27666240000.

The previous prime is 82677699997. The next prime is 82677700033. The reversal of 82677700000 is 777628.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230299821 + ... + 230300179.

It is an arithmetic number, because the mean of its divisors is an integer number (561057840).

Almost surely, 2^82677700000 is an apocalyptic number.

82677700000 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 82677700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121188493440).

82677700000 is an abundant number, since it is smaller than the sum of its proper divisors (159699286880).

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

82677700000 is an equidigital number, since it uses as much as digits as its factorization.

82677700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 82677700000 in words is "eighty-two billion, six hundred seventy-seven million, seven hundred thousand".