76982400009 has 6 divisors (see below), whose sum is σ = 111196800026. Its totient is φ = 51321600000.

The previous prime is 76982399981. The next prime is 76982400029. The reversal of 76982400009 is 90000428967.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66446403984 + 10535996025 = 257772^2 + 102645^2 .

It is not a de Polignac number, because 76982400009 - 2¹² = 76982395913 is a prime.

It is a super-2 number, since 2×76982400009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76982400029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4276799992 + ... + 4276800009.

Almost surely, 2^76982400009 is an apocalyptic number.

It is an amenable number.

76982400009 is a deficient number, since it is larger than the sum of its proper divisors (34214400017).

76982400009 is a wasteful number, since it uses less digits than its factorization.

76982400009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8553600007 (or 8553600004 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 76982400009 in words is "seventy-six billion, nine hundred eighty-two million, four hundred thousand, nine".