8778065328400 has 45 divisors (see below), whose sum is σ = 21089444314021. Its totient is φ = 3511202429120.

The previous prime is 8778065328293. The next prime is 8778065328437. The reversal of 8778065328400 is 48235608778.

The square root of 8778065328400 is 2962780.

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., 3160103518224 + 5617961810176 = 1777668^2 + 2370224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59181531 + ... + 59329669.

Almost surely, 2^{8778065328400} is an apocalyptic number.

8778065328400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8778065328400 is the 2962780-th square number.

It is an amenable number.

8778065328400 is an abundant number, since it is smaller than the sum of its proper divisors (12311378985621).

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

8778065328400 is an frugal number, since it uses more digits than its factorization.

8778065328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296296 (or 148146 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 8778065328400 in words is "eight trillion, seven hundred seventy-eight billion, sixty-five million, three hundred twenty-eight thousand, four hundred".