78205456288 has 96 divisors (see below), whose sum is σ = 161775306000. Its totient is φ = 37165793280.

The previous prime is 78205456253. The next prime is 78205456309. The reversal of 78205456288 is 88265450287.

It can be written as a sum of positive squares in 8 ways, for example, as 22352642064 + 55852814224 = 149508^2 + 236332^2 .

It is a super-2 number, since 2×78205456288² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19902708 + ... + 19906636.

Almost surely, 2^78205456288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78205456288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80887653000).

78205456288 is an abundant number, since it is smaller than the sum of its proper divisors (83569849712).

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

78205456288 is a wasteful number, since it uses less digits than its factorization.

78205456288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 55.

The spelling of 78205456288 in words is "seventy-eight billion, two hundred five million, four hundred fifty-six thousand, two hundred eighty-eight".