850190880 has 192 divisors, whose sum is σ = 3339076608. Its totient is φ = 176655360.

The previous prime is 850190879. The next prime is 850190881. The reversal of 850190880 is 88091058.

It is an interprime number because it is at equal distance from previous prime (850190879) and next prime (850190881).

It is not an unprimeable number, because it can be changed into a prime (850190881) 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, 25459 + ... + 48461.

It is an arithmetic number, because the mean of its divisors is an integer number (17391024).

Almost surely, 2^850190880 is an apocalyptic number.

850190880 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 850190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669538304).

850190880 is an abundant number, since it is smaller than the sum of its proper divisors (2488885728).

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

850190880 is a wasteful number, since it uses less digits than its factorization.

850190880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23039 (or 23031 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 850190880 is about 29158.0328554585. The cubic root of 850190880 is about 947.3391395498.

The spelling of 850190880 in words is "eight hundred fifty million, one hundred ninety thousand, eight hundred eighty".