540307777 has 2 divisors, whose sum is σ = 540307778. Its totient is φ = 540307776.

The previous prime is 540307727. The next prime is 540307793. The reversal of 540307777 is 777703045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456420496 + 83887281 = 21364^2 + 9159^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540307777 is a prime.

It is equal to p_28363648 and since 540307777 and 28363648 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (540307727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270153888 + 270153889.

It is an arithmetic number, because the mean of its divisors is an integer number (270153889).

Almost surely, 2^540307777 is an apocalyptic number.

It is an amenable number.

540307777 is a deficient number, since it is larger than the sum of its proper divisors (1).

540307777 is an equidigital number, since it uses as much as digits as its factorization.

540307777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144060, while the sum is 40.

The square root of 540307777 is about 23244.5214405459. The cubic root of 540307777 is about 814.4799658378.

The spelling of 540307777 in words is "five hundred forty million, three hundred seven thousand, seven hundred seventy-seven".