82979080800 has 1152 divisors, whose sum is σ = 363234751488. Its totient is φ = 15925248000.

The previous prime is 82979080787. The next prime is 82979080813. The reversal of 82979080800 is 808097928.

It is an interprime number because it is at equal distance from previous prime (82979080787) and next prime (82979080813).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191637384 + ... + 191637816.

It is an arithmetic number, because the mean of its divisors is an integer number (315307944).

Almost surely, 2^82979080800 is an apocalyptic number.

82979080800 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 82979080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181617375744).

82979080800 is an abundant number, since it is smaller than the sum of its proper divisors (280255670688).

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

82979080800 is a wasteful number, since it uses less digits than its factorization.

82979080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 82979080800 in words is "eighty-two billion, nine hundred seventy-nine million, eighty thousand, eight hundred".