78775648900 has 243 divisors, whose sum is σ = 198193590189. Its totient is φ = 27159874560.

The previous prime is 78775648871. The next prime is 78775648909. The reversal of 78775648900 is 984657787.

The square root of 78775648900 is 280670.

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

It can be written as a sum of positive squares in 13 ways, for example, as 57370788484 + 21404860416 = 239522^2 + 146304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78775648909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 620280637 + ... + 620280763.

Almost surely, 2^78775648900 is an apocalyptic number.

78775648900 is the 280670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78775648900

78775648900 is an abundant number, since it is smaller than the sum of its proper divisors (119417941289).

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

78775648900 is a wasteful number, since it uses less digits than its factorization.

78775648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 61.

The spelling of 78775648900 in words is "seventy-eight billion, seven hundred seventy-five million, six hundred forty-eight thousand, nine hundred".