82344380800 has 192 divisors, whose sum is σ = 227073591360. Its totient is φ = 29246515200.

The previous prime is 82344380791. The next prime is 82344380827. The reversal of 82344380800 is 808344328.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1486399 + ... + 1540801.

It is an arithmetic number, because the mean of its divisors is an integer number (1182674955).

Almost surely, 2^82344380800 is an apocalyptic number.

82344380800 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 82344380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113536795680).

82344380800 is an abundant number, since it is smaller than the sum of its proper divisors (144729210560).

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

82344380800 is a wasteful number, since it uses less digits than its factorization.

82344380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54481 (or 54464 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 82344380800 in words is "eighty-two billion, three hundred forty-four million, three hundred eighty thousand, eight hundred".