78798104100 has 135 divisors (see below), whose sum is σ = 255514245217. Its totient is φ = 21006090720.

The previous prime is 78798104089. The next prime is 78798104131. The reversal of 78798104100 is 140189787.

The square root of 78798104100 is 280710.

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

It can be written as a sum of positive squares in only one way, i.e., 28367317476 + 50430786624 = 168426^2 + 224568^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 25262341 + ... + 25265459.

Almost surely, 2^78798104100 is an apocalyptic number.

78798104100 is the 280710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78798104100

78798104100 is an abundant number, since it is smaller than the sum of its proper divisors (176716141117).

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

78798104100 is an equidigital number, since it uses as much as digits as its factorization.

78798104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 78798104100 in words is "seventy-eight billion, seven hundred ninety-eight million, one hundred four thousand, one hundred".