78257112480 has 288 divisors, whose sum is σ = 278137314000. Its totient is φ = 20012138496.

The previous prime is 78257112457. The next prime is 78257112497. The reversal of 78257112480 is 8421175287.

78257112480 is a `hidden beast` number, since 7 + 8 + 2 + 57 + 112 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36997753104 + 41259359376 = 192348^2 + 203124^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78257112480² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6215952 + ... + 6228528.

Almost surely, 2^78257112480 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 78257112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139068657000).

78257112480 is an abundant number, since it is smaller than the sum of its proper divisors (199880201520).

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

78257112480 is a wasteful number, since it uses less digits than its factorization.

78257112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12776 (or 12765 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 78257112480 in words is "seventy-eight billion, two hundred fifty-seven million, one hundred twelve thousand, four hundred eighty".