78344300 has 72 divisors (see below), whose sum is σ = 176655360. Its totient is φ = 30139200.

The previous prime is 78344293. The next prime is 78344309. The reversal of 78344300 is 344387.

It is a super-2 number, since 2×78344300² = 12275658684980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78344309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371195 + ... + 371405.

Almost surely, 2^78344300 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 78344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88327680).

78344300 is an abundant number, since it is smaller than the sum of its proper divisors (98311060).

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

78344300 is a wasteful number, since it uses less digits than its factorization.

78344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 78344300 is about 8851.2315527276. The cubic root of 78344300 is about 427.8936105555.

Adding to 78344300 its reverse (344387), we get a palindrome (78688687).

The spelling of 78344300 in words is "seventy-eight million, three hundred forty-four thousand, three hundred".