76368400311 has 16 divisors (see below), whose sum is σ = 116374882304. Its totient is φ = 43637590944.

The previous prime is 76368400309. The next prime is 76368400319. The reversal of 76368400311 is 11300486367.

It is not a de Polignac number, because 76368400311 - 2¹ = 76368400309 is a prime.

It is a super-2 number, since 2×76368400311² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76368400311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76368400319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941481 + ... + 1019373.

It is an arithmetic number, because the mean of its divisors is an integer number (7273430144).

Almost surely, 2^76368400311 is an apocalyptic number.

76368400311 is a deficient number, since it is larger than the sum of its proper divisors (40006481993).

76368400311 is a wasteful number, since it uses less digits than its factorization.

76368400311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124590.

The product of its (nonzero) digits is 72576, while the sum is 39.

Adding to 76368400311 its reverse (11300486367), we get a palindrome (87668886678).

The spelling of 76368400311 in words is "seventy-six billion, three hundred sixty-eight million, four hundred thousand, three hundred eleven".