77649 has 16 divisors (see below), whose sum is σ = 122304. Its totient is φ = 43200.

The previous prime is 77647. The next prime is 77659. The reversal of 77649 is 94677.

It is not a de Polignac number, because 77649 - 2¹ = 77647 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2⁷⁷⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

77649 is a deficient number, since it is larger than the sum of its proper divisors (44655).

77649 is a wasteful number, since it uses less digits than its factorization.

77649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its digits is 10584, while the sum is 33.

The square root of 77649 is about 278.6557015387. The cubic root of 77649 is about 42.6624005609.

The spelling of 77649 in words is "seventy-seven thousand, six hundred forty-nine".