826208304768 has 768 divisors, whose sum is σ = 3100431559680. Its totient is φ = 214524288000.

The previous prime is 826208304763. The next prime is 826208304773. The reversal of 826208304768 is 867403802628.

826208304768 is a `hidden beast` number, since 8 + 2 + 620 + 8 + 3 + 0 + 4 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (826208304763) and next prime (826208304773).

It is a super-2 number, since 2×826208304768² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (826208304763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289794543 + ... + 289797393.

It is an arithmetic number, because the mean of its divisors is an integer number (4037020260).

Almost surely, 2^826208304768 is an apocalyptic number.

826208304768 is a gapful number since it is divisible by the number (88) 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 826208304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550215779840).

826208304768 is an abundant number, since it is smaller than the sum of its proper divisors (2274223254912).

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

826208304768 is an equidigital number, since it uses as much as digits as its factorization.

826208304768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 826208304768 in words is "eight hundred twenty-six billion, two hundred eight million, three hundred four thousand, seven hundred sixty-eight".