856726500 has 192 divisors, whose sum is σ = 2876590080. Its totient is φ = 194083200.

The previous prime is 856726487. The next prime is 856726501. The reversal of 856726500 is 5627658.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (856726501) 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, 1459207 + ... + 1459793.

It is an arithmetic number, because the mean of its divisors is an integer number (14982240).

Almost surely, 2^856726500 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 856726500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438295040).

856726500 is an abundant number, since it is smaller than the sum of its proper divisors (2019863580).

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

856726500 is a wasteful number, since it uses less digits than its factorization.

856726500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 856726500 is about 29269.8906728399. The cubic root of 856726500 is about 949.7604197331.

The spelling of 856726500 in words is "eight hundred fifty-six million, seven hundred twenty-six thousand, five hundred".