78530400 has 216 divisors, whose sum is σ = 298574640. Its totient is φ = 19307520.

The previous prime is 78530399. The next prime is 78530437. The reversal of 78530400 is 403587.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93181 + ... + 94019.

It is an arithmetic number, because the mean of its divisors is an integer number (1382290).

Almost surely, 2^78530400 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 78530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).

78530400 is an abundant number, since it is smaller than the sum of its proper divisors (220044240).

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

78530400 is a wasteful number, since it uses less digits than its factorization.

78530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 78530400 is about 8861.7379785232. The cubic root of 78530400 is about 428.2321505295.

Adding to 78530400 its reverse (403587), we get a palindrome (78933987).

The spelling of 78530400 in words is "seventy-eight million, five hundred thirty thousand, four hundred".