77506045 has 16 divisors (see below), whose sum is σ = 96279552. Its totient is φ = 59834880.

The previous prime is 77506003. The next prime is 77506049. The reversal of 77506045 is 54060577.

It is a de Polignac number, because none of the positive numbers 2^k-77506045 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77506045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77506049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103944 + ... + 104686.

It is an arithmetic number, because the mean of its divisors is an integer number (6017472).

Almost surely, 2^77506045 is an apocalyptic number.

It is an amenable number.

77506045 is a deficient number, since it is larger than the sum of its proper divisors (18773507).

77506045 is a wasteful number, since it uses less digits than its factorization.

77506045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452.

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 77506045 is about 8803.7517570636. The cubic root of 77506045 is about 426.3620340006.

The spelling of 77506045 in words is "seventy-seven million, five hundred six thousand, forty-five".