78793781875200 has 5760 divisors, whose sum is σ = 375665398732800. Its totient is φ = 16253308108800.

The previous prime is 78793781875199. The next prime is 78793781875201. The reversal of 78793781875200 is 257818739787.

78793781875200 is a `hidden beast` number, since 7 + 8 + 7 + 93 + 7 + 8 + 1 + 8 + 7 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78793781875199) and next prime (78793781875201).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (78793781875201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 722878732746 + ... + 722878732854.

It is an arithmetic number, because the mean of its divisors is an integer number (65219687280).

Almost surely, 2^{78793781875200} is an apocalyptic number.

78793781875200 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 78793781875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187832699366400).

78793781875200 is an abundant number, since it is smaller than the sum of its proper divisors (296871616857600).

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

78793781875200 is a wasteful number, since it uses less digits than its factorization.

78793781875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 78793781875200 in words is "seventy-eight trillion, seven hundred ninety-three billion, seven hundred eighty-one million, eight hundred seventy-five thousand, two hundred".