77051821200 has 240 divisors, whose sum is σ = 253040679360. Its totient is φ = 20035952640.

The previous prime is 77051821183. The next prime is 77051821201. The reversal of 77051821200 is 212815077.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (77051821201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7791459 + ... + 7801341.

It is an arithmetic number, because the mean of its divisors is an integer number (1054336164).

Almost surely, 2^77051821200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77051821200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126520339680).

77051821200 is an abundant number, since it is smaller than the sum of its proper divisors (175988858160).

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

77051821200 is a wasteful number, since it uses less digits than its factorization.

77051821200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10066 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 77051821200 in words is "seventy-seven billion, fifty-one million, eight hundred twenty-one thousand, two hundred".