82779984391104 has 672 divisors, whose sum is σ = 319357343585280. Its totient is φ = 19798765977600.

The previous prime is 82779984391103. The next prime is 82779984391147. The reversal of 82779984391104 is 40119348997728.

82779984391104 is a `hidden beast` number, since 8 + 2 + 7 + 79 + 9 + 8 + 439 + 110 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82779984391103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235644069 + ... + 235995099.

It is an arithmetic number, because the mean of its divisors is an integer number (475234142240).

Almost surely, 2^{82779984391104} is an apocalyptic number.

82779984391104 is a gapful number since it is divisible by the number (84) 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 82779984391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159678671792640).

82779984391104 is an abundant number, since it is smaller than the sum of its proper divisors (236577359194176).

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

82779984391104 is a wasteful number, since it uses less digits than its factorization.

82779984391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351489 (or 351476 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 82779984391104 in words is "eighty-two trillion, seven hundred seventy-nine billion, nine hundred eighty-four million, three hundred ninety-one thousand, one hundred four".