850375680 has 352 divisors, whose sum is σ = 3395727360. Its totient is φ = 176455680.

The previous prime is 850375667. The next prime is 850375681. The reversal of 850375680 is 86573058.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850375681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182361 + ... + 1183079.

Almost surely, 2^850375680 is an apocalyptic number.

850375680 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 850375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697863680).

850375680 is an abundant number, since it is smaller than the sum of its proper divisors (2545351680).

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

850375680 is a wasteful number, since it uses less digits than its factorization.

850375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 850375680 is about 29161.2016213324. The cubic root of 850375680 is about 947.4077733881.

The spelling of 850375680 in words is "eight hundred fifty million, three hundred seventy-five thousand, six hundred eighty".