76400749 has 2 divisors, whose sum is σ = 76400750. Its totient is φ = 76400748.

The previous prime is 76400717. The next prime is 76400759. The reversal of 76400749 is 94700467.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66945124 + 9455625 = 8182^2 + 3075^2 .

It is a cyclic number.

It is not a de Polignac number, because 76400749 - 2⁵ = 76400717 is a prime.

It is a super-3 number, since 3×76400749³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76400759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38200374 + 38200375.

It is an arithmetic number, because the mean of its divisors is an integer number (38200375).

Almost surely, 2^76400749 is an apocalyptic number.

It is an amenable number.

76400749 is a deficient number, since it is larger than the sum of its proper divisors (1).

76400749 is an equidigital number, since it uses as much as digits as its factorization.

76400749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 76400749 is about 8740.7521987527. The cubic root of 76400749 is about 424.3255720769.

The spelling of 76400749 in words is "seventy-six million, four hundred thousand, seven hundred forty-nine".