77717140 has 24 divisors (see below), whose sum is σ = 167188392. Its totient is φ = 30328320.

The previous prime is 77717137. The next prime is 77717141. The reversal of 77717140 is 4171777.

It can be written as a sum of positive squares in 4 ways, for example, as 1887876 + 75829264 = 1374^2 + 8708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77717096 and 77717105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77717141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46569 + ... + 48208.

It is an arithmetic number, because the mean of its divisors is an integer number (6966183).

Almost surely, 2^77717140 is an apocalyptic number.

It is an amenable number.

77717140 is an abundant number, since it is smaller than the sum of its proper divisors (89471252).

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

77717140 is a wasteful number, since it uses less digits than its factorization.

77717140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94827 (or 94825 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 34.

The square root of 77717140 is about 8815.7325277030. The cubic root of 77717140 is about 426.7487621434.

The spelling of 77717140 in words is "seventy-seven million, seven hundred seventeen thousand, one hundred forty".