82823793408 has 432 divisors, whose sum is σ = 261310323456. Its totient is φ = 26112430080.

The previous prime is 82823793389. The next prime is 82823793457. The reversal of 82823793408 is 80439732828.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×82823793408³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153093618 + ... + 153094158.

It is an arithmetic number, because the mean of its divisors is an integer number (604885008).

Almost surely, 2^82823793408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82823793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130655161728).

82823793408 is an abundant number, since it is smaller than the sum of its proper divisors (178486530048).

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

82823793408 is a wasteful number, since it uses less digits than its factorization.

82823793408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 82823793408 in words is "eighty-two billion, eight hundred twenty-three million, seven hundred ninety-three thousand, four hundred eight".