83058800 has 120 divisors (see below), whose sum is σ = 223259520. Its totient is φ = 29433600.

The previous prime is 83058799. The next prime is 83058839. The reversal of 83058800 is 885038.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 188981 + ... + 189419.

It is an arithmetic number, because the mean of its divisors is an integer number (1860496).

Almost surely, 2^83058800 is an apocalyptic number.

83058800 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 83058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111629760).

83058800 is an abundant number, since it is smaller than the sum of its proper divisors (140200720).

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

83058800 is a wasteful number, since it uses less digits than its factorization.

83058800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 83058800 is about 9113.6600770492. The cubic root of 83058800 is about 436.3100507642.

The spelling of 83058800 in words is "eighty-three million, fifty-eight thousand, eight hundred".