77967795200 has 132 divisors (see below), whose sum is σ = 193541057892. Its totient is φ = 31142707200.

The previous prime is 77967795167. The next prime is 77967795203. The reversal of 77967795200 is 259776977.

It can be written as a sum of positive squares in 6 ways, for example, as 28634054656 + 49333740544 = 169216^2 + 222112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77967795200.

It is not an unprimeable number, because it can be changed into a prime (77967795203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22551872 + ... + 22555328.

Almost surely, 2^77967795200 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 77967795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96770528946).

77967795200 is an abundant number, since it is smaller than the sum of its proper divisors (115573262692).

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

77967795200 is a wasteful number, since it uses less digits than its factorization.

77967795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 11668860, while the sum is 59.

The spelling of 77967795200 in words is "seventy-seven billion, nine hundred sixty-seven million, seven hundred ninety-five thousand, two hundred".