850076640 has 192 divisors, whose sum is σ = 3400427520. Its totient is φ = 194296320.

The previous prime is 850076627. The next prime is 850076641. The reversal of 850076640 is 46670058.

It is a happy number.

850076640 is a `hidden beast` number, since 8 + 5 + 0 + 0 + 7 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 850076595 and 850076604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850076641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16185 + ... + 44295.

It is an arithmetic number, because the mean of its divisors is an integer number (17710560).

Almost surely, 2^850076640 is an apocalyptic number.

850076640 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 850076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700213760).

850076640 is an abundant number, since it is smaller than the sum of its proper divisors (2550350880).

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

850076640 is a wasteful number, since it uses less digits than its factorization.

850076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28142 (or 28128 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 850076640 is about 29156.0738097570. The cubic root of 850076640 is about 947.2967063843.

The spelling of 850076640 in words is "eight hundred fifty million, seventy-six thousand, six hundred forty".