78458290176 has 256 divisors, whose sum is σ = 241462396800. Its totient is φ = 22196256768.

The previous prime is 78458290139. The next prime is 78458290199. The reversal of 78458290176 is 67109285487.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×78458290176² (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, 77757960 + ... + 77758968.

Almost surely, 2^78458290176 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 78458290176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120731198400).

78458290176 is an abundant number, since it is smaller than the sum of its proper divisors (163004106624).

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

78458290176 is a wasteful number, since it uses less digits than its factorization.

78458290176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 78458290176 in words is "seventy-eight billion, four hundred fifty-eight million, two hundred ninety thousand, one hundred seventy-six".