83330000 has 100 divisors (see below), whose sum is σ = 217608468. Its totient is φ = 30720000.

The previous prime is 83329927. The next prime is 83330033. The reversal of 83330000 is 3338.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 61277584 + 22052416 = 7828^2 + 4696^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129680 + ... + 130320.

Almost surely, 2^83330000 is an apocalyptic number.

83330000 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 83330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108804234).

83330000 is an abundant number, since it is smaller than the sum of its proper divisors (134278468).

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

83330000 is a wasteful number, since it uses less digits than its factorization.

83330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 83330000 is about 9128.5267157412. The cubic root of 83330000 is about 436.7844084207.

Adding to 83330000 its reverse (3338), we get a palindrome (83333338).

The spelling of 83330000 in words is "eighty-three million, three hundred thirty thousand".