78282444100 has 135 divisors (see below), whose sum is σ = 198520933821. Its totient is φ = 26792690400.

The previous prime is 78282444077. The next prime is 78282444109. The reversal of 78282444100 is 144428287.

The square root of 78282444100 is 279790.

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., 28181679876 + 50100764224 = 167874^2 + 223832^2 .

It is a super-3 number, since 3×78282444100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (78282444109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 137096815 + ... + 137097385.

Almost surely, 2^78282444100 is an apocalyptic number.

78282444100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

78282444100 is the 279790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78282444100

78282444100 is an abundant number, since it is smaller than the sum of its proper divisors (120238489721).

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

78282444100 is an frugal number, since it uses more digits than its factorization.

78282444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The spelling of 78282444100 in words is "seventy-eight billion, two hundred eighty-two million, four hundred forty-four thousand, one hundred".