77729140 has 12 divisors (see below), whose sum is σ = 163231236. Its totient is φ = 31091648.

The previous prime is 77729123. The next prime is 77729147. The reversal of 77729140 is 4192777.

It can be written as a sum of positive squares in 2 ways, for example, as 49617936 + 28111204 = 7044^2 + 5302^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77729140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77729147) 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, 1943209 + ... + 1943248.

It is an arithmetic number, because the mean of its divisors is an integer number (13602603).

Almost surely, 2^77729140 is an apocalyptic number.

It is an amenable number.

77729140 is an abundant number, since it is smaller than the sum of its proper divisors (85502096).

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

77729140 is a wasteful number, since it uses less digits than its factorization.

77729140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886466 (or 3886464 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The square root of 77729140 is about 8816.4131028440. The cubic root of 77729140 is about 426.7707252162.

The spelling of 77729140 in words is "seventy-seven million, seven hundred twenty-nine thousand, one hundred forty".