859930000 has 100 divisors (see below), whose sum is σ = 2103161148. Its totient is φ = 340480000.

The previous prime is 859929991. The next prime is 859930009. The reversal of 859930000 is 39958.

It is an interprime number because it is at equal distance from previous prime (859929991) and next prime (859930009).

It can be written as a sum of positive squares in 10 ways, for example, as 828748944 + 31181056 = 28788^2 + 5584^2 .

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

It is not an unprimeable number, because it can be changed into a prime (859930009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1129620 + ... + 1130380.

Almost surely, 2^859930000 is an apocalyptic number.

859930000 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 859930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051580574).

859930000 is an abundant number, since it is smaller than the sum of its proper divisors (1243231148).

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

859930000 is a wasteful number, since it uses less digits than its factorization.

859930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 859930000 is about 29324.5630828492. The cubic root of 859930000 is about 950.9427391337.

Adding to 859930000 its reverse (39958), we get a palindrome (859969958).

The spelling of 859930000 in words is "eight hundred fifty-nine million, nine hundred thirty thousand".