850272840 has 96 divisors (see below), whose sum is σ = 2778867000. Its totient is φ = 225469440.

The previous prime is 850272811. The next prime is 850272851. The reversal of 850272840 is 48272058.

It is a happy number.

850272840 is a `hidden beast` number, since 8 + 502 + 72 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 439237764 + 411035076 = 20958^2 + 20274^2 .

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 = 850272795 and 850272804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58636 + ... + 71684.

Almost surely, 2^850272840 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 850272840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389433500).

850272840 is an abundant number, since it is smaller than the sum of its proper divisors (1928594160).

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

850272840 is a wasteful number, since it uses less digits than its factorization.

850272840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13247 (or 13240 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 850272840 is about 29159.4382661944. The cubic root of 850272840 is about 947.3695803300.

The spelling of 850272840 in words is "eight hundred fifty million, two hundred seventy-two thousand, eight hundred forty".