77629145 has 24 divisors (see below), whose sum is σ = 104545728. Its totient is φ = 54878400.

The previous prime is 77629141. The next prime is 77629151. The reversal of 77629145 is 54192677.

It is not a de Polignac number, because 77629145 - 2² = 77629141 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77629141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74780 + ... + 75810.

It is an arithmetic number, because the mean of its divisors is an integer number (4356072).

Almost surely, 2^77629145 is an apocalyptic number.

It is an amenable number.

77629145 is a deficient number, since it is larger than the sum of its proper divisors (26916583).

77629145 is a wasteful number, since it uses less digits than its factorization.

77629145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1084 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The square root of 77629145 is about 8810.7403207676. The cubic root of 77629145 is about 426.5876396469.

The spelling of 77629145 in words is "seventy-seven million, six hundred twenty-nine thousand, one hundred forty-five".