826814400 has 168 divisors, whose sum is σ = 2726734704. Its totient is φ = 219340800.

The previous prime is 826814399. The next prime is 826814407. The reversal of 826814400 is 4418628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826814407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1348494 + ... + 1349106.

Almost surely, 2^826814400 is an apocalyptic number.

826814400 is a gapful number since it is divisible by the number (80) 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 826814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363367352).

826814400 is an abundant number, since it is smaller than the sum of its proper divisors (1899920304).

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

826814400 is a wasteful number, since it uses less digits than its factorization.

826814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 826814400 is about 28754.3805358418. The cubic root of 826814400 is about 938.5757819561.

The spelling of 826814400 in words is "eight hundred twenty-six million, eight hundred fourteen thousand, four hundred".