83330380 has 72 divisors (see below), whose sum is σ = 212472288. Its totient is φ = 27320832.

The previous prime is 83330347. The next prime is 83330461. The reversal of 83330380 is 8303338.

It is a super-3 number, since 3×83330380³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20692 + ... + 24388.

It is an arithmetic number, because the mean of its divisors is an integer number (2951004).

Almost surely, 2^83330380 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 83330380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106236144).

83330380 is an abundant number, since it is smaller than the sum of its proper divisors (129141908).

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

83330380 is a wasteful number, since it uses less digits than its factorization.

83330380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 83330380 is about 9128.5475295909. The cubic root of 83330380 is about 436.7850723586.

It can be divided in two parts, 833 and 30380, that added together give a palindrome (31213).

The spelling of 83330380 in words is "eighty-three million, three hundred thirty thousand, three hundred eighty".