82213678080 has 440 divisors, whose sum is σ = 296962842528. Its totient is φ = 21748580352.

The previous prime is 82213678073. The next prime is 82213678081. The reversal of 82213678080 is 8087631228.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82213678081) 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 39 ways as a sum of consecutive naturals, for example, 56815917 + ... + 56817363.

Almost surely, 2^82213678080 is an apocalyptic number.

82213678080 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 82213678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148481421264).

82213678080 is an abundant number, since it is smaller than the sum of its proper divisors (214749164448).

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

82213678080 is a wasteful number, since it uses less digits than its factorization.

82213678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 82213678080 in words is "eighty-two billion, two hundred thirteen million, six hundred seventy-eight thousand, eighty".