826768620 has 144 divisors (see below), whose sum is σ = 2613881088. Its totient is φ = 219360960.

The previous prime is 826768609. The next prime is 826768661. The reversal of 826768620 is 26867628.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 1511187 + ... + 1511733.

It is an arithmetic number, because the mean of its divisors is an integer number (18151952).

Almost surely, 2^826768620 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 826768620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306940544).

826768620 is an abundant number, since it is smaller than the sum of its proper divisors (1787112468).

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

826768620 is a wasteful number, since it uses less digits than its factorization.

826768620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 826768620 is about 28753.5844722010. The cubic root of 826768620 is about 938.5584589259.

The spelling of 826768620 in words is "eight hundred twenty-six million, seven hundred sixty-eight thousand, six hundred twenty".