77580049 has 2 divisors, whose sum is σ = 77580050. Its totient is φ = 77580048.

The previous prime is 77580031. The next prime is 77580053. The reversal of 77580049 is 94008577.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57866449 + 19713600 = 7607^2 + 4440^2 .

It is a cyclic number.

It is not a de Polignac number, because 77580049 - 2¹¹ = 77578001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77579993 and 77580020.

It is not a weakly prime, because it can be changed into another prime (77580079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38790024 + 38790025.

It is an arithmetic number, because the mean of its divisors is an integer number (38790025).

Almost surely, 2^77580049 is an apocalyptic number.

It is an amenable number.

77580049 is a deficient number, since it is larger than the sum of its proper divisors (1).

77580049 is an equidigital number, since it uses as much as digits as its factorization.

77580049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 77580049 is about 8807.9537351192. The cubic root of 77580049 is about 426.4976899098.

The spelling of 77580049 in words is "seventy-seven million, five hundred eighty thousand, forty-nine".