78551200 has 216 divisors, whose sum is σ = 240172128. Its totient is φ = 24560640.

The previous prime is 78551197. The next prime is 78551219. The reversal of 78551200 is 215587.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 946359 + ... + 946441.

It is an arithmetic number, because the mean of its divisors is an integer number (1111908).

Almost surely, 2^78551200 is an apocalyptic number.

78551200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120086064).

78551200 is an abundant number, since it is smaller than the sum of its proper divisors (161620928).

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

78551200 is a wasteful number, since it uses less digits than its factorization.

78551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 78551200 is about 8862.9114855108. The cubic root of 78551200 is about 428.2699551777.

Adding to 78551200 its reverse (215587), we get a palindrome (78766787).

The spelling of 78551200 in words is "seventy-eight million, five hundred fifty-one thousand, two hundred".