78854256100 has 27 divisors (see below), whose sum is σ = 171119829531. Its totient is φ = 31540579200.

The previous prime is 78854256079. The next prime is 78854256113. The reversal of 78854256100 is 165245887.

The square root of 78854256100 is 280810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12335656356 + 66518599744 = 111066^2 + 257912^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2794060 + ... + 2822140.

Almost surely, 2^78854256100 is an apocalyptic number.

78854256100 is the 280810-th square number.

It is an amenable number.

78854256100 is an abundant number, since it is smaller than the sum of its proper divisors (92265573431).

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

78854256100 is an frugal number, since it uses more digits than its factorization.

78854256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56176 (or 28088 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 78854256100 in words is "seventy-eight billion, eight hundred fifty-four million, two hundred fifty-six thousand, one hundred".