78368185400 has 96 divisors (see below), whose sum is σ = 187114898880. Its totient is φ = 30510144000.

The previous prime is 78368185397. The next prime is 78368185421. The reversal of 78368185400 is 458186387.

It is a super-2 number, since 2×78368185400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1678370 + ... + 1724430.

It is an arithmetic number, because the mean of its divisors is an integer number (1949113530).

Almost surely, 2^78368185400 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 78368185400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93557449440).

78368185400 is an abundant number, since it is smaller than the sum of its proper divisors (108746713480).

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

78368185400 is a wasteful number, since it uses less digits than its factorization.

78368185400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46305 (or 46296 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 78368185400 in words is "seventy-eight billion, three hundred sixty-eight million, one hundred eighty-five thousand, four hundred".