78480208800 has 1152 divisors, whose sum is σ = 337258414080. Its totient is φ = 17244057600.

The previous prime is 78480208799. The next prime is 78480208801. The reversal of 78480208800 is 880208487.

78480208800 is a `hidden beast` number, since 78 + 480 + 20 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78480208799) and next prime (78480208801).

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

It is not an unprimeable number, because it can be changed into a prime (78480208801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 617954337 + ... + 617954463.

It is an arithmetic number, because the mean of its divisors is an integer number (292759040).

Almost surely, 2^78480208800 is an apocalyptic number.

78480208800 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 78480208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168629207040).

78480208800 is an abundant number, since it is smaller than the sum of its proper divisors (258778205280).

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

78480208800 is a wasteful number, since it uses less digits than its factorization.

78480208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 78480208800 in words is "seventy-eight billion, four hundred eighty million, two hundred eight thousand, eight hundred".