78312873600 has 1152 divisors, whose sum is σ = 319692871680. Its totient is φ = 18811699200.

The previous prime is 78312873589. The next prime is 78312873631. The reversal of 78312873600 is 637821387.

78312873600 is a `hidden beast` number, since 7 + 8 + 3 + 1 + 287 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×78312873600² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 616636737 + ... + 616636863.

Almost surely, 2^78312873600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78312873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159846435840).

78312873600 is an abundant number, since it is smaller than the sum of its proper divisors (241379998080).

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

78312873600 is a wasteful number, since it uses less digits than its factorization.

78312873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 78312873600 in words is "seventy-eight billion, three hundred twelve million, eight hundred seventy-three thousand, six hundred".