826762445920 has 288 divisors, whose sum is σ = 2066921333568. Its totient is φ = 312408576000.

The previous prime is 826762445909. The next prime is 826762445921. The reversal of 826762445920 is 29544267628.

It is a super-2 number, since 2×826762445920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826762445921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1697663917 + ... + 1697664403.

It is an arithmetic number, because the mean of its divisors is an integer number (7176810186).

Almost surely, 2^826762445920 is an apocalyptic number.

826762445920 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 826762445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033460666784).

826762445920 is an abundant number, since it is smaller than the sum of its proper divisors (1240158887648).

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

826762445920 is a wasteful number, since it uses less digits than its factorization.

826762445920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 826762445920 in words is "eight hundred twenty-six billion, seven hundred sixty-two million, four hundred forty-five thousand, nine hundred twenty".