823746400 has 72 divisors (see below), whose sum is σ = 2016902160. Its totient is φ = 328527360.

The previous prime is 823746389. The next prime is 823746409. The reversal of 823746400 is 4647328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823746409) 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, 309877 + ... + 312523.

It is an arithmetic number, because the mean of its divisors is an integer number (28012530).

Almost surely, 2^823746400 is an apocalyptic number.

823746400 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 823746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008451080).

823746400 is an abundant number, since it is smaller than the sum of its proper divisors (1193155760).

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

823746400 is a wasteful number, since it uses less digits than its factorization.

823746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 823746400 is about 28700.9825615779. The cubic root of 823746400 is about 937.4134414899.

The spelling of 823746400 in words is "eight hundred twenty-three million, seven hundred forty-six thousand, four hundred".