83029760 has 72 divisors (see below), whose sum is σ = 216999216. Its totient is φ = 30187520.

The previous prime is 83029757. The next prime is 83029781. The reversal of 83029760 is 6792038.

It is a self number, because there is not a number n which added to its sum of digits gives 83029760.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11132 + ... + 17028.

It is an arithmetic number, because the mean of its divisors is an integer number (3013878).

Almost surely, 2^83029760 is an apocalyptic number.

83029760 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 83029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108499608).

83029760 is an abundant number, since it is smaller than the sum of its proper divisors (133969456).

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

83029760 is a wasteful number, since it uses less digits than its factorization.

83029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 83029760 is about 9112.0667249532. The cubic root of 83029760 is about 436.2591955435.

The spelling of 83029760 in words is "eighty-three million, twenty-nine thousand, seven hundred sixty".