856075220 has 192 divisors, whose sum is σ = 2456842752. Its totient is φ = 241920000.

The previous prime is 856075219. The next prime is 856075223. The reversal of 856075220 is 22570658.

856075220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) 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 (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856075223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1220870 + ... + 1221570.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056).

Almost surely, 2^856075220 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 856075220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228421376).

856075220 is an abundant number, since it is smaller than the sum of its proper divisors (1600767532).

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

856075220 is a wasteful number, since it uses less digits than its factorization.

856075220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 856075220 is about 29258.7631317525. The cubic root of 856075220 is about 949.5196907200.

The spelling of 856075220 in words is "eight hundred fifty-six million, seventy-five thousand, two hundred twenty".