820322226662400 has 8448 divisors, whose sum is σ = 4109645080166400. Its totient is φ = 156468746649600.

The previous prime is 820322226662387. The next prime is 820322226662429. The reversal of 820322226662400 is 4266622223028.

It is a tau number, because it is divible by the number of its divisors (8448).

It is a super-2 number, since 2×820322226662400² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6459230131137 + ... + 6459230131263.

Almost surely, 2^{820322226662400} is an apocalyptic number.

820322226662400 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 820322226662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054822540083200).

820322226662400 is an abundant number, since it is smaller than the sum of its proper divisors (3289322853504000).

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

820322226662400 is a wasteful number, since it uses less digits than its factorization.

820322226662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

Adding to 820322226662400 its reverse (4266622223028), we get a palindrome (824588848885428).

The spelling of 820322226662400 in words is "eight hundred twenty trillion, three hundred twenty-two billion, two hundred twenty-six million, six hundred sixty-two thousand, four hundred".