78163747200 has 1536 divisors, whose sum is σ = 369119232000. Its totient is φ = 15676416000.

The previous prime is 78163747157. The next prime is 78163747243. The reversal of 78163747200 is 274736187.

78163747200 is a `hidden beast` number, since 7 + 8 + 1 + 637 + 4 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78163747157) and next prime (78163747243).

It is a super-2 number, since 2×78163747200² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206236611 + ... + 206236989.

It is an arithmetic number, because the mean of its divisors is an integer number (240312000).

Almost surely, 2^78163747200 is an apocalyptic number.

78163747200 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 78163747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184559616000).

78163747200 is an abundant number, since it is smaller than the sum of its proper divisors (290955484800).

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

78163747200 is a wasteful number, since it uses less digits than its factorization.

78163747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 78163747200 in words is "seventy-eight billion, one hundred sixty-three million, seven hundred forty-seven thousand, two hundred".