78451200 has 240 divisors, whose sum is σ = 289222560. Its totient is φ = 20828160.

The previous prime is 78451199. The next prime is 78451207. The reversal of 78451200 is 215487.

78451200 is a `hidden beast` number, since 7 + 8 + 451 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (78451207) 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, 345487 + ... + 345713.

It is an arithmetic number, because the mean of its divisors is an integer number (1205094).

Almost surely, 2^78451200 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 78451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144611280).

78451200 is an abundant number, since it is smaller than the sum of its proper divisors (210771360).

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

78451200 is a wasteful number, since it uses less digits than its factorization.

78451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 78451200 is about 8857.2682018780. The cubic root of 78451200 is about 428.0881409296.

Adding to 78451200 its reverse (215487), we get a palindrome (78666687).

It can be divided in two parts, 7845 and 1200, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 78451200 in words is "seventy-eight million, four hundred fifty-one thousand, two hundred".