78848640000 has 1155 divisors, whose sum is σ = 319771775433. Its totient is φ = 19408896000.

The previous prime is 78848639959. The next prime is 78848640011. The reversal of 78848640000 is 4684887.

The square root of 78848640000 is 280800.

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

It can be written as a sum of positive squares in 7 ways, for example, as 77881181184 + 967458816 = 279072^2 + 31104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 6065279994 + ... + 6065280006.

Almost surely, 2^78848640000 is an apocalyptic number.

78848640000 is the 280800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78848640000

78848640000 is an abundant number, since it is smaller than the sum of its proper divisors (240923135433).

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

78848640000 is an frugal number, since it uses more digits than its factorization.

78848640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 78848640000 in words is "seventy-eight billion, eight hundred forty-eight million, six hundred forty thousand".