823626320 has 80 divisors (see below), whose sum is σ = 2179896192. Its totient is φ = 286471680.

The previous prime is 823626313. The next prime is 823626337. The reversal of 823626320 is 23626328.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107 + ... + 40586.

Almost surely, 2^823626320 is an apocalyptic number.

823626320 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 823626320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089948096).

823626320 is an abundant number, since it is smaller than the sum of its proper divisors (1356269872).

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

823626320 is a wasteful number, since it uses less digits than its factorization.

823626320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40740 (or 40734 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 823626320 is about 28698.8905708914. The cubic root of 823626320 is about 937.3678894137.

The spelling of 823626320 in words is "eight hundred twenty-three million, six hundred twenty-six thousand, three hundred twenty".