78115200 has 192 divisors, whose sum is σ = 263078400. Its totient is φ = 20367360.

The previous prime is 78115157. The next prime is 78115207. The reversal of 78115200 is 251187.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×78115200² = 12203968942080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78115207) 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, 758349 + ... + 758451.

It is an arithmetic number, because the mean of its divisors is an integer number (1370200).

Almost surely, 2^78115200 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 78115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131539200).

78115200 is an abundant number, since it is smaller than the sum of its proper divisors (184963200).

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

78115200 is a wasteful number, since it uses less digits than its factorization.

78115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 78115200 is about 8838.2803757292. The cubic root of 78115200 is about 427.4761109731.

Adding to 78115200 its reverse (251187), we get a palindrome (78366387).

The spelling of 78115200 in words is "seventy-eight million, one hundred fifteen thousand, two hundred".