78771200 has 132 divisors (see below), whose sum is σ = 207885132. Its totient is φ = 29491200.

The previous prime is 78771181. The next prime is 78771211. The reversal of 78771200 is 217787.

It can be written as a sum of positive squares in 6 ways, for example, as 8479744 + 70291456 = 2912^2 + 8384^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435110 + ... + 435290.

Almost surely, 2^78771200 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 78771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103942566).

78771200 is an abundant number, since it is smaller than the sum of its proper divisors (129113932).

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

78771200 is a wasteful number, since it uses less digits than its factorization.

78771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The square root of 78771200 is about 8875.3140789495. The cubic root of 78771200 is about 428.6694040552.

Adding to 78771200 its reverse (217787), we get a palindrome (78988987).

The spelling of 78771200 in words is "seventy-eight million, seven hundred seventy-one thousand, two hundred".