78844900 has 18 divisors (see below), whose sum is σ = 171093650. Its totient is φ = 31537920.

The previous prime is 78844859. The next prime is 78844901. The reversal of 78844900 is 944887.

78844900 = 1801² + 1802² + ... + 1824².

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 78393316 = 672^2 + 8854^2 .

It is not an unprimeable number, because it can be changed into a prime (78844901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 394125 + ... + 394324.

Almost surely, 2^78844900 is an apocalyptic number.

It is an amenable number.

78844900 is an abundant number, since it is smaller than the sum of its proper divisors (92248750).

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

78844900 is a wasteful number, since it uses less digits than its factorization.

78844900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788463 (or 788456 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 78844900 is about 8879.4650739783. The cubic root of 78844900 is about 428.8030531012.

The spelling of 78844900 in words is "seventy-eight million, eight hundred forty-four thousand, nine hundred".