78276848400 has 135 divisors (see below), whose sum is σ = 271700674869. Its totient is φ = 20869349760.

The previous prime is 78276848383. The next prime is 78276848423. The reversal of 78276848400 is 484867287.

It is a happy number.

The square root of 78276848400 is 279780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28179665424 + 50097182976 = 167868^2 + 223824^2 .

It is a super-2 number, since 2×78276848400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16784469 + ... + 16789131.

Almost surely, 2^78276848400 is an apocalyptic number.

78276848400 is the 279780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78276848400

78276848400 is an abundant number, since it is smaller than the sum of its proper divisors (193423826469).

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

78276848400 is an equidigital number, since it uses as much as digits as its factorization.

78276848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 78276848400 in words is "seventy-eight billion, two hundred seventy-six million, eight hundred forty-eight thousand, four hundred".