83119680 has 504 divisors, whose sum is σ = 361370880. Its totient is φ = 17418240.

The previous prime is 83119657. The next prime is 83119691. The reversal of 83119680 is 8691138.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2681265 + ... + 2681295.

Almost surely, 2^83119680 is an apocalyptic number.

83119680 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 83119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180685440).

83119680 is an abundant number, since it is smaller than the sum of its proper divisors (278251200).

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

83119680 is a wasteful number, since it uses less digits than its factorization.

83119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 83119680 is about 9116.9995064166. Note that the first 3 decimals coincide. The cubic root of 83119680 is about 436.4166261407.

The spelling of 83119680 in words is "eighty-three million, one hundred nineteen thousand, six hundred eighty".