78751200 has 288 divisors, whose sum is σ = 296231040. Its totient is φ = 17971200.

The previous prime is 78751193. The next prime is 78751213. The reversal of 78751200 is 215787.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501522 + ... + 501678.

It is an arithmetic number, because the mean of its divisors is an integer number (1028580).

Almost surely, 2^78751200 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 78751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148115520).

78751200 is an abundant number, since it is smaller than the sum of its proper divisors (217479840).

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

78751200 is a wasteful number, since it uses less digits than its factorization.

78751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 78751200 is about 8874.1872867322. The cubic root of 78751200 is about 428.6331212777.

Adding to 78751200 its reverse (215787), we get a palindrome (78966987).

The spelling of 78751200 in words is "seventy-eight million, seven hundred fifty-one thousand, two hundred".