83327730 has 96 divisors (see below), whose sum is σ = 220881600. Its totient is φ = 20039040.

The previous prime is 83327729. The next prime is 83327731. The reversal of 83327730 is 3772338.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83327729) and next prime (83327731).

It is a junction number, because it is equal to n+sod(n) for n = 83327691 and 83327700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83327731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173595 + ... + 1173665.

It is an arithmetic number, because the mean of its divisors is an integer number (2300850).

Almost surely, 2^83327730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83327730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110440800).

83327730 is an abundant number, since it is smaller than the sum of its proper divisors (137553870).

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

83327730 is a wasteful number, since it uses less digits than its factorization.

83327730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 83327730 is about 9128.4023793871. The cubic root of 83327730 is about 436.7804422236.

The spelling of 83327730 in words is "eighty-three million, three hundred twenty-seven thousand, seven hundred thirty".