826788864 has 176 divisors, whose sum is σ = 2464260480. Its totient is φ = 244285440.

The previous prime is 826788841. The next prime is 826788877. The reversal of 826788864 is 468887628.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1452772 + ... + 1453340.

It is an arithmetic number, because the mean of its divisors is an integer number (14001480).

Almost surely, 2^826788864 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 826788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232130240).

826788864 is an abundant number, since it is smaller than the sum of its proper divisors (1637471616).

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

826788864 is a wasteful number, since it uses less digits than its factorization.

826788864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 628 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 57.

The square root of 826788864 is about 28753.9364957218. The cubic root of 826788864 is about 938.5661192805.

The spelling of 826788864 in words is "eight hundred twenty-six million, seven hundred eighty-eight thousand, eight hundred sixty-four".