8060448400 has 75 divisors (see below), whose sum is σ = 19658639801. Its totient is φ = 3176057280.

The previous prime is 8060448397. The next prime is 8060448401. The reversal of 8060448400 is 48440608.

The square root of 8060448400 is 89780.

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., 2901761424 + 5158686976 = 53868^2 + 71824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8060448401) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 120305167 + ... + 120305233.

Almost surely, 2^8060448400 is an apocalyptic number.

8060448400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8060448400 is the 89780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8060448400

8060448400 is an abundant number, since it is smaller than the sum of its proper divisors (11598191401).

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

8060448400 is an frugal number, since it uses more digits than its factorization.

8060448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The cubic root of 8060448400 is about 2005.0247321282.

The spelling of 8060448400 in words is "eight billion, sixty million, four hundred forty-eight thousand, four hundred".