78044400 has 360 divisors, whose sum is σ = 327816320. Its totient is φ = 16796160.

The previous prime is 78044389. The next prime is 78044401. The reversal of 78044400 is 444087.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78044401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478719 + ... + 478881.

Almost surely, 2^78044400 is an apocalyptic number.

78044400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163908160).

78044400 is an abundant number, since it is smaller than the sum of its proper divisors (249771920).

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

78044400 is a wasteful number, since it uses less digits than its factorization.

78044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 78044400 is about 8834.2741637330. The cubic root of 78044400 is about 427.3469237516.

Adding to 78044400 its reverse (444087), we get a palindrome (78488487).

The spelling of 78044400 in words is "seventy-eight million, forty-four thousand, four hundred".