81879408000 has 768 divisors, whose sum is σ = 319716633600. Its totient is φ = 19961856000.

The previous prime is 81879407999. The next prime is 81879408007. The reversal of 81879408000 is 80497818.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81879408007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357551886 + ... + 357552114.

It is an arithmetic number, because the mean of its divisors is an integer number (416297700).

Almost surely, 2^81879408000 is an apocalyptic number.

81879408000 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 81879408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159858316800).

81879408000 is an abundant number, since it is smaller than the sum of its proper divisors (237837225600).

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

81879408000 is a wasteful number, since it uses less digits than its factorization.

81879408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 81879408000 in words is "eighty-one billion, eight hundred seventy-nine million, four hundred eight thousand".