77812224000 has 416 divisors, whose sum is σ = 295957998336. Its totient is φ = 17783193600.

The previous prime is 77812223953. The next prime is 77812224011. The reversal of 77812224000 is 42221877.

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 31 ways as a sum of consecutive naturals, for example, 10748382 + ... + 10755618.

It is an arithmetic number, because the mean of its divisors is an integer number (711437496).

Almost surely, 2^77812224000 is an apocalyptic number.

77812224000 is a gapful number since it is divisible by the number (70) 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 77812224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147978999168).

77812224000 is an abundant number, since it is smaller than the sum of its proper divisors (218145774336).

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

77812224000 is an equidigital number, since it uses as much as digits as its factorization.

77812224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

Adding to 77812224000 its reverse (42221877), we get a palindrome (77854445877).

The spelling of 77812224000 in words is "seventy-seven billion, eight hundred twelve million, two hundred twenty-four thousand".