826054400 has 108 divisors (see below), whose sum is σ = 2056035072. Its totient is φ = 328581120.

The previous prime is 826054367. The next prime is 826054403. The reversal of 826054400 is 4450628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826054403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2156609 + ... + 2156991.

Almost surely, 2^826054400 is an apocalyptic number.

826054400 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 826054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028017536).

826054400 is an abundant number, since it is smaller than the sum of its proper divisors (1229980672).

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

826054400 is a wasteful number, since it uses less digits than its factorization.

826054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 826054400 is about 28741.1621198587. The cubic root of 826054400 is about 938.2881171290.

The spelling of 826054400 in words is "eight hundred twenty-six million, fifty-four thousand, four hundred".