82405823808 has 224 divisors, whose sum is σ = 273130841088. Its totient is φ = 21301862400.

The previous prime is 82405823807. The next prime is 82405823881. The reversal of 82405823808 is 80832850428.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82405823807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106216 + ... + 3132632.

It is an arithmetic number, because the mean of its divisors is an integer number (1219334112).

Almost surely, 2^82405823808 is an apocalyptic number.

82405823808 is a gapful number since it is divisible by the number (88) 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 82405823808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136565420544).

82405823808 is an abundant number, since it is smaller than the sum of its proper divisors (190725017280).

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

82405823808 is a wasteful number, since it uses less digits than its factorization.

82405823808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26661 (or 26651 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 82405823808 in words is "eighty-two billion, four hundred five million, eight hundred twenty-three thousand, eight hundred eight".