850636080 has 720 divisors, whose sum is σ = 3704762880. Its totient is φ = 180278784.

The previous prime is 850636079. The next prime is 850636081. The reversal of 850636080 is 80636058.

850636080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (850636079) and next prime (850636081).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850636081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18098617 + ... + 18098663.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^850636080 is an apocalyptic number.

850636080 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 850636080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852381440).

850636080 is an abundant number, since it is smaller than the sum of its proper divisors (2854126800).

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

850636080 is a wasteful number, since it uses less digits than its factorization.

850636080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 850636080 is about 29165.6661161716. Note that the first 3 decimals coincide. The cubic root of 850636080 is about 947.5044678305.

The spelling of 850636080 in words is "eight hundred fifty million, six hundred thirty-six thousand, eighty".