83350080 has 224 divisors, whose sum is σ = 321137280. Its totient is φ = 20183040.

The previous prime is 83350061. The next prime is 83350081. The reversal of 83350080 is 8005338.

83350080 is a `hidden beast` number, since 83 + 3 + 500 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83350081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 94602 + ... + 95478.

Almost surely, 2^83350080 is an apocalyptic number.

83350080 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 83350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160568640).

83350080 is an abundant number, since it is smaller than the sum of its proper divisors (237787200).

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

83350080 is a wasteful number, since it uses less digits than its factorization.

83350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83350080 is about 9129.6264983843. The cubic root of 83350080 is about 436.8194895301.

The spelling of 83350080 in words is "eighty-three million, three hundred fifty thousand, eighty".