78417876800 has 84 divisors (see below), whose sum is σ = 193967990016. Its totient is φ = 31202803200.

The previous prime is 78417876767. The next prime is 78417876827. The reversal of 78417876800 is 867871487.

It is a happy number.

It is a super-2 number, since 2×78417876800² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 177299 + ... + 433901.

Almost surely, 2^78417876800 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 78417876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96983995008).

78417876800 is an abundant number, since it is smaller than the sum of its proper divisors (115550113216).

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

78417876800 is a wasteful number, since it uses less digits than its factorization.

78417876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256816 (or 256801 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 56.

The spelling of 78417876800 in words is "seventy-eight billion, four hundred seventeen million, eight hundred seventy-six thousand, eight hundred".