76728446001 has 9 divisors (see below), whose sum is σ = 110831177899. Its totient is φ = 51151743336.

The previous prime is 76728445939. The next prime is 76728446057. The reversal of 76728446001 is 10064482767.

The square root of 76728446001 is 276999.

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., 1035230625 + 75693215376 = 32175^2 + 275124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 76728446001 - 2¹⁹ = 76727921713 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76728446701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 784831 + ... + 877163.

Almost surely, 2^76728446001 is an apocalyptic number.

76728446001 is the 276999-th square number.

76728446001 is the 138500-th centered octagonal number.

It is an amenable number.

76728446001 is a deficient number, since it is larger than the sum of its proper divisors (34102731898).

76728446001 is an frugal number, since it uses more digits than its factorization.

76728446001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184672 (or 92336 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

It can be divided in two parts, 76728 and 446001, that added together give a square (522729 = 723²).

The spelling of 76728446001 in words is "seventy-six billion, seven hundred twenty-eight million, four hundred forty-six thousand, one".