78804502296100 has 243 divisors, whose sum is σ = 206068221692697. Its totient is φ = 26081042184960.

The previous prime is 78804502296083. The next prime is 78804502296101. The reversal of 78804502296100 is 169220540887.

The square root of 78804502296100 is 8877190.

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

It can be written as a sum of positive squares in 13 ways, for example, as 42753316114404 + 36051186181696 = 6538602^2 + 6004264^2 .

It is not an unprimeable number, because it can be changed into a prime (78804502296101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18020693514 + ... + 18020697886.

Almost surely, 2^{78804502296100} is an apocalyptic number.

78804502296100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

78804502296100 is the 8877190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78804502296100

78804502296100 is an abundant number, since it is smaller than the sum of its proper divisors (127263719396597).

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

78804502296100 is an equidigital number, since it uses as much as digits as its factorization.

78804502296100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8832 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 78804502296100 in words is "seventy-eight trillion, eight hundred four billion, five hundred two million, two hundred ninety-six thousand, one hundred".