85830300 has 144 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 22553280.

The previous prime is 85830293. The next prime is 85830301. The reversal of 85830300 is 303858.

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 (85830301) 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, 223909 + ... + 224291.

It is an arithmetic number, because the mean of its divisors is an integer number (1944320).

Almost surely, 2^85830300 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 85830300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

85830300 is an abundant number, since it is smaller than the sum of its proper divisors (194151780).

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

85830300 is a wasteful number, since it uses less digits than its factorization.

85830300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 476 counting only the distinct ones).

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

The square root of 85830300 is about 9264.4643665999. The cubic root of 85830300 is about 441.1099730363.

The spelling of 85830300 in words is "eighty-five million, eight hundred thirty thousand, three hundred".