850060800 has 360 divisors, whose sum is σ = 3126648096. Its totient is φ = 220446720.

The previous prime is 850060781. The next prime is 850060853. The reversal of 850060800 is 8060058.

850060800 is a `hidden beast` number, since 8 + 50 + 0 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5414322 + ... + 5414478.

Almost surely, 2^850060800 is an apocalyptic number.

850060800 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 850060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563324048).

850060800 is an abundant number, since it is smaller than the sum of its proper divisors (2276587296).

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

850060800 is a wasteful number, since it uses less digits than its factorization.

850060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 850060800 is about 29155.8021669787. The cubic root of 850060800 is about 947.2908224940.

It can be divided in two parts, 850060 and 800, that added together give a triangular number (850860 = T₁₃₀₄).

The spelling of 850060800 in words is "eight hundred fifty million, sixty thousand, eight hundred".