77822208000 has 768 divisors, whose sum is σ = 293346144000. Its totient is φ = 20603289600.

The previous prime is 77822207989. The next prime is 77822208001. The reversal of 77822208000 is 80222877.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77822208001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559871931 + ... + 559872069.

It is an arithmetic number, because the mean of its divisors is an integer number (381961125).

Almost surely, 2^77822208000 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 77822208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146673072000).

77822208000 is an abundant number, since it is smaller than the sum of its proper divisors (215523936000).

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

77822208000 is an frugal number, since it uses more digits than its factorization.

77822208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 77822208000 in words is "seventy-seven billion, eight hundred twenty-two million, two hundred eight thousand".