826432768 has 72 divisors (see below), whose sum is σ = 1903045760. Its totient is φ = 350853120.

The previous prime is 826432753. The next prime is 826432769. The reversal of 826432768 is 867234628.

It is a super-3 number, since 3×826432768³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826432769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193213 + ... + 197443.

Almost surely, 2^826432768 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 826432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951522880).

826432768 is an abundant number, since it is smaller than the sum of its proper divisors (1076612992).

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

826432768 is a wasteful number, since it uses less digits than its factorization.

826432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4349 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The square root of 826432768 is about 28747.7437027674. The cubic root of 826432768 is about 938.4313538648.

The spelling of 826432768 in words is "eight hundred twenty-six million, four hundred thirty-two thousand, seven hundred sixty-eight".