78343200 has 432 divisors, whose sum is σ = 318479616. Its totient is φ = 18662400.

The previous prime is 78343189. The next prime is 78343201. The reversal of 78343200 is 234387.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×78343200² = 12275313972480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78343201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2527185 + ... + 2527215.

Almost surely, 2^78343200 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 78343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159239808).

78343200 is an abundant number, since it is smaller than the sum of its proper divisors (240136416).

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

78343200 is a wasteful number, since it uses less digits than its factorization.

78343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 78343200 is about 8851.1694142639. The cubic root of 78343200 is about 427.8916079202.

Adding to 78343200 its reverse (234387), we get a palindrome (78577587).

The spelling of 78343200 in words is "seventy-eight million, three hundred forty-three thousand, two hundred".