78563419200 has 1512 divisors, whose sum is σ = 359423281152. Its totient is φ = 15885434880.

The previous prime is 78563419153. The next prime is 78563419211. The reversal of 78563419200 is 291436587.

78563419200 is a `hidden beast` number, since 7 + 8 + 5 + 634 + 1 + 9 + 2 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 215 ways as a sum of consecutive naturals, for example, 618609537 + ... + 618609663.

It is a 1-persistent number, because it is pandigital, but 2⋅78563419200 = 157126838400 is not.

Almost surely, 2^78563419200 is an apocalyptic number.

78563419200 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 78563419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179711640576).

78563419200 is an abundant number, since it is smaller than the sum of its proper divisors (280859861952).

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

78563419200 is a wasteful number, since it uses less digits than its factorization.

78563419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 78563419200 in words is "seventy-eight billion, five hundred sixty-three million, four hundred nineteen thousand, two hundred".