824220000 has 360 divisors, whose sum is σ = 3095852760. Its totient is φ = 207360000.

The previous prime is 824219987. The next prime is 824220041. The reversal of 824220000 is 22428.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3419880 + ... + 3420120.

It is an arithmetic number, because the mean of its divisors is an integer number (8599591).

Almost surely, 2^824220000 is an apocalyptic number.

824220000 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 824220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547926380).

824220000 is an abundant number, since it is smaller than the sum of its proper divisors (2271632760).

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

824220000 is a wasteful number, since it uses less digits than its factorization.

824220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 824220000 is about 28709.2319646486. The cubic root of 824220000 is about 937.5930574294.

Adding to 824220000 its reverse (22428), we get a palindrome (824242428).

The spelling of 824220000 in words is "eight hundred twenty-four million, two hundred twenty thousand".