77564949 has 32 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 40152000.

The previous prime is 77564941. The next prime is 77564951. The reversal of 77564949 is 94946577.

It is not a de Polignac number, because 77564949 - 2³ = 77564941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77564941) 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 in 31 ways as a sum of consecutive naturals, for example, 110299 + ... + 110999.

It is an arithmetic number, because the mean of its divisors is an integer number (4043520).

Almost surely, 2^77564949 is an apocalyptic number.

It is an amenable number.

77564949 is a deficient number, since it is larger than the sum of its proper divisors (51827691).

77564949 is a wasteful number, since it uses less digits than its factorization.

77564949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201.

The product of its digits is 1905120, while the sum is 51.

The square root of 77564949 is about 8807.0965136076. The cubic root of 77564949 is about 426.4700172754.

The spelling of 77564949 in words is "seventy-seven million, five hundred sixty-four thousand, nine hundred forty-nine".