826788950784 has 288 divisors, whose sum is σ = 2628420480000. Its totient is φ = 255534206976.

The previous prime is 826788950749. The next prime is 826788950789. The reversal of 826788950784 is 487059887628.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (826788950789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6105442 + ... + 6239390.

It is an arithmetic number, because the mean of its divisors is an integer number (9126460000).

Almost surely, 2^826788950784 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 826788950784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314210240000).

826788950784 is an abundant number, since it is smaller than the sum of its proper divisors (1801631529216).

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

826788950784 is a wasteful number, since it uses less digits than its factorization.

826788950784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134040 (or 134020 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 826788950784 in words is "eight hundred twenty-six billion, seven hundred eighty-eight million, nine hundred fifty thousand, seven hundred eighty-four".