856789440 has 168 divisors, whose sum is σ = 2946215088. Its totient is φ = 210862080.

The previous prime is 856789411. The next prime is 856789441. The reversal of 856789440 is 44987658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856789441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159600 + ... + 164880.

Almost surely, 2^856789440 is an apocalyptic number.

856789440 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 856789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473107544).

856789440 is an abundant number, since it is smaller than the sum of its proper divisors (2089425648).

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

856789440 is a wasteful number, since it uses less digits than its factorization.

856789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 856789440 is about 29270.9658193917. The cubic root of 856789440 is about 949.7836774305.

The spelling of 856789440 in words is "eight hundred fifty-six million, seven hundred eighty-nine thousand, four hundred forty".