850764600 has 384 divisors, whose sum is σ = 3406924800. Its totient is φ = 191116800.

The previous prime is 850764587. The next prime is 850764611. The reversal of 850764600 is 6467058.

It is a happy number.

850764600 is a `hidden beast` number, since 8 + 5 + 0 + 7 + 646 + 0 + 0 = 666.

850764600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×850764600² = 1447600809226320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2683642 + ... + 2683958.

It is an arithmetic number, because the mean of its divisors is an integer number (8872200).

Almost surely, 2^850764600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850764600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703462400).

850764600 is an abundant number, since it is smaller than the sum of its proper divisors (2556160200).

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

850764600 is a wasteful number, since it uses less digits than its factorization.

850764600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

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

The square root of 850764600 is about 29167.8693085388. The cubic root of 850764600 is about 947.5521839435.

It can be divided in two parts, 85076 and 4600, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 850764600 in words is "eight hundred fifty million, seven hundred sixty-four thousand, six hundred".