78558480000 has 1920 divisors, whose sum is σ = 382759977600. Its totient is φ = 14929920000.

The previous prime is 78558479939. The next prime is 78558480059. The reversal of 78558480000 is 8485587.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 720719946 + ... + 720720054.

It is an arithmetic number, because the mean of its divisors is an integer number (199354155).

Almost surely, 2^78558480000 is an apocalyptic number.

78558480000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78558480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191379988800).

78558480000 is an abundant number, since it is smaller than the sum of its proper divisors (304201497600).

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

78558480000 is a wasteful number, since it uses less digits than its factorization.

78558480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 78558480000 in words is "seventy-eight billion, five hundred fifty-eight million, four hundred eighty thousand".