76580001 has 9 divisors (see below), whose sum is σ = 110653491. Its totient is φ = 51035832.

The previous prime is 76579969. The next prime is 76580011. The reversal of 76580001 is 10008567.

The square root of 76580001 is 8751.

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

76580001 is a `hidden beast` number, since 7 + 658 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76475025 + 104976 = 8745^2 + 324^2 .

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

It is not a de Polignac number, because 76580001 - 2⁵ = 76579969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76580011) 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, 24795 + ... + 27711.

Almost surely, 2^76580001 is an apocalyptic number.

76580001 is the 8751-st square number.

76580001 is the 4376-th centered octagonal number.

It is an amenable number.

76580001 is a deficient number, since it is larger than the sum of its proper divisors (34073490).

76580001 is an frugal number, since it uses more digits than its factorization.

76580001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The cubic root of 76580001 is about 424.6571648110.

Adding to 76580001 its reverse (10008567), we get a palindrome (86588568).

The spelling of 76580001 in words is "seventy-six million, five hundred eighty thousand, one".