83179980 has 288 divisors, whose sum is σ = 303266880. Its totient is φ = 18800640.

The previous prime is 83179909. The next prime is 83180003. The reversal of 83179980 is 8997138.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2028760 + ... + 2028800.

It is an arithmetic number, because the mean of its divisors is an integer number (1053010).

Almost surely, 2^83179980 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 83179980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151633440).

83179980 is an abundant number, since it is smaller than the sum of its proper divisors (220086900).

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

83179980 is a wasteful number, since it uses less digits than its factorization.

83179980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 83179980 is about 9120.3059159219. The cubic root of 83179980 is about 436.5221348939.

The spelling of 83179980 in words is "eighty-three million, one hundred seventy-nine thousand, nine hundred eighty".