83834080 has 192 divisors, whose sum is σ = 239500800. Its totient is φ = 27371520.

The previous prime is 83834071. The next prime is 83834081. The reversal of 83834080 is 8043838.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83834081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769066 + ... + 769174.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 2^83834080 is an apocalyptic number.

83834080 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 83834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

83834080 is an abundant number, since it is smaller than the sum of its proper divisors (155666720).

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

83834080 is a wasteful number, since it uses less digits than its factorization.

83834080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 83834080 is about 9156.0952375999. The cubic root of 83834080 is about 437.6633708234.

The spelling of 83834080 in words is "eighty-three million, eight hundred thirty-four thousand, eighty".