850752000 has 480 divisors, whose sum is σ = 3518596224. Its totient is φ = 193536000.

The previous prime is 850751977. The next prime is 850752011. The reversal of 850752000 is 257058.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4031895 + ... + 4032105.

Almost surely, 2^850752000 is an apocalyptic number.

850752000 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 850752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759298112).

850752000 is an abundant number, since it is smaller than the sum of its proper divisors (2667844224).

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

850752000 is a wasteful number, since it uses less digits than its factorization.

850752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 850752000 is about 29167.6533166451. The cubic root of 850752000 is about 947.5475061057.

The spelling of 850752000 in words is "eight hundred fifty million, seven hundred fifty-two thousand".