823532400 has 120 divisors (see below), whose sum is σ = 2931203760. Its totient is φ = 219605760.

The previous prime is 823532399. The next prime is 823532429. The reversal of 823532400 is 4235328.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×823532400² = 1356411227699520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27327 + ... + 48926.

It is an arithmetic number, because the mean of its divisors is an integer number (24426698).

Almost surely, 2^823532400 is an apocalyptic number.

823532400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823532400 is an abundant number, since it is smaller than the sum of its proper divisors (2107671360).

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

823532400 is a wasteful number, since it uses less digits than its factorization.

823532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76280 (or 76263 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 823532400 is about 28697.2542240543. The cubic root of 823532400 is about 937.3322579886.

Adding to 823532400 its reverse (4235328), we get a palindrome (827767728).

The spelling of 823532400 in words is "eight hundred twenty-three million, five hundred thirty-two thousand, four hundred".