78800276810304 has 1701 divisors, whose sum is σ = 290772873985347. Its totient is φ = 21122316698112.

The previous prime is 78800276810291. The next prime is 78800276810317. The reversal of 78800276810304 is 40301867200887.

It is a happy number.

The square root of 78800276810304 is 8876952.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (78800276810291) and next prime (78800276810317).

It is a tau number, because it is divible by the number of its divisors (1701).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 765051231117 + ... + 765051231219.

Almost surely, 2^{78800276810304} is an apocalyptic number.

78800276810304 is the 8876952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78800276810304

78800276810304 is an abundant number, since it is smaller than the sum of its proper divisors (211972597175043).

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

78800276810304 is an frugal number, since it uses more digits than its factorization.

78800276810304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 78800276810304 in words is "seventy-eight trillion, eight hundred billion, two hundred seventy-six million, eight hundred ten thousand, three hundred four".