78434400 has 144 divisors (see below), whose sum is σ = 278607168. Its totient is φ = 19008000.

The previous prime is 78434351. The next prime is 78434401. The reversal of 78434400 is 443487.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78434401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24915 + ... + 27885.

It is an arithmetic number, because the mean of its divisors is an integer number (1934772).

Almost surely, 2^78434400 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 78434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139303584).

78434400 is an abundant number, since it is smaller than the sum of its proper divisors (200172768).

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

78434400 is a wasteful number, since it uses less digits than its factorization.

78434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 78434400 is about 8856.3197774245. The cubic root of 78434400 is about 428.0575809798.

Adding to 78434400 its reverse (443487), we get a palindrome (78877887).

The spelling of 78434400 in words is "seventy-eight million, four hundred thirty-four thousand, four hundred".