76782028767 has 16 divisors (see below), whose sum is σ = 103253010432. Its totient is φ = 50750256960.

The previous prime is 76782028723. The next prime is 76782028777.

It is a happy number.

76782028767 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76782028767 - 2¹⁴ = 76782012383 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 76782028767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76782028717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337323 + ... + 517059.

It is an arithmetic number, because the mean of its divisors is an integer number (6453313152).

Almost surely, 2^76782028767 is an apocalyptic number.

76782028767 is a deficient number, since it is larger than the sum of its proper divisors (26470981665).

76782028767 is a wasteful number, since it uses less digits than its factorization.

76782028767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180958.

The product of its (nonzero) digits is 22127616, while the sum is 60.

The spelling of 76782028767 in words is "seventy-six billion, seven hundred eighty-two million, twenty-eight thousand, seven hundred sixty-seven".