850713600 has 528 divisors, whose sum is σ = 3289610880. Its totient is φ = 191692800.

The previous prime is 850713593. The next prime is 850713601. The reversal of 850713600 is 6317058.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850713601) 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, 16051174 + ... + 16051226.

Almost surely, 2^850713600 is an apocalyptic number.

850713600 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 850713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644805440).

850713600 is an abundant number, since it is smaller than the sum of its proper divisors (2438897280).

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

850713600 is a wasteful number, since it uses less digits than its factorization.

850713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 850713600 is about 29166.9950457705. The cubic root of 850713600 is about 947.5332495532.

The spelling of 850713600 in words is "eight hundred fifty million, seven hundred thirteen thousand, six hundred".