78772743200 has 54 divisors (see below), whose sum is σ = 192323340909. Its totient is φ = 31505921920.

The previous prime is 78772743173. The next prime is 78772743233. The reversal of 78772743200 is 234727787.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 77197288336 + 1575454864 = 277844^2 + 39692^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=198460.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7933439 + ... + 7943361.

Almost surely, 2^78772743200 is an apocalyptic number.

It is an amenable number.

78772743200 is an abundant number, since it is smaller than the sum of its proper divisors (113550597709).

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

78772743200 is an frugal number, since it uses more digits than its factorization.

78772743200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19866 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 47.

The spelling of 78772743200 in words is "seventy-eight billion, seven hundred seventy-two million, seven hundred forty-three thousand, two hundred".