850165680 has 480 divisors, whose sum is σ = 3391282944. Its totient is φ = 174569472.

The previous prime is 850165663. The next prime is 850165727. The reversal of 850165680 is 86561058.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10242919 + ... + 10243001.

Almost surely, 2^850165680 is an apocalyptic number.

850165680 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 850165680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695641472).

850165680 is an abundant number, since it is smaller than the sum of its proper divisors (2541117264).

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

850165680 is a wasteful number, since it uses less digits than its factorization.

850165680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 850165680 is about 29157.6007243394. The cubic root of 850165680 is about 947.3297796195.

The spelling of 850165680 in words is "eight hundred fifty million, one hundred sixty-five thousand, six hundred eighty".