77829164 has 12 divisors (see below), whose sum is σ = 155658384. Its totient is φ = 33355344.

The previous prime is 77829163. The next prime is 77829173. The reversal of 77829164 is 46192877.

77829164 is an admirable number.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77829163) 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 3 ways as a sum of consecutive naturals, for example, 1389779 + ... + 1389834.

It is an arithmetic number, because the mean of its divisors is an integer number (12971532).

Almost surely, 2^77829164 is an apocalyptic number.

It is an amenable number.

77829164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77829164 is a wasteful number, since it uses less digits than its factorization.

77829164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779624 (or 2779622 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 77829164 is about 8822.0838808073. The cubic root of 77829164 is about 426.9537068611.

The spelling of 77829164 in words is "seventy-seven million, eight hundred twenty-nine thousand, one hundred sixty-four".