78114419200 has 240 divisors, whose sum is σ = 199091676960. Its totient is φ = 30356766720.

The previous prime is 78114419183. The next prime is 78114419233. The reversal of 78114419200 is 291441187.

It is a super-2 number, since 2×78114419200² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78114419200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190988596 + ... + 190989004.

It is an arithmetic number, because the mean of its divisors is an integer number (829548654).

Almost surely, 2^78114419200 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 78114419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99545838480).

78114419200 is an abundant number, since it is smaller than the sum of its proper divisors (120977257760).

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

78114419200 is a wasteful number, since it uses less digits than its factorization.

78114419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 78114419200 in words is "seventy-eight billion, one hundred fourteen million, four hundred nineteen thousand, two hundred".