77742 has 24 divisors (see below), whose sum is σ = 192816. Its totient is φ = 22176.

The previous prime is 77731. The next prime is 77743. The reversal of 77742 is 24777.

It is a happy number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77743) by changing a digit.

77742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 183 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (8034).

2⁷⁷⁷⁴² is an apocalyptic number.

77742 is an abundant number, since it is smaller than the sum of its proper divisors (115074).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96408).

77742 is a wasteful number, since it uses less digits than its factorization.

77742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 629 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 77742 is about 278.8225241977. The cubic root of 77742 is about 42.6794259800.

It can be divided in two parts, 7774 and 2, that added together give a 5-th power (7776 = 6⁵).

The spelling of 77742 in words is "seventy-seven thousand, seven hundred forty-two", and thus it is an iban number.