77141729 has 30 divisors (see below), whose sum is σ = 96046290. Its totient is φ = 61937568.

The previous prime is 77141719. The next prime is 77141737. The reversal of 77141729 is 92714177.

It can be written as a sum of positive squares in only one way, i.e., 55472704 + 21669025 = 7448^2 + 4655^2 .

It is a de Polignac number, because none of the positive numbers 2^k-77141729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77141692 and 77141701.

It is not an unprimeable number, because it can be changed into a prime (77141719) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 866717 + ... + 866805.

It is an arithmetic number, because the mean of its divisors is an integer number (3201543).

Almost surely, 2^77141729 is an apocalyptic number.

It is an amenable number.

77141729 is a deficient number, since it is larger than the sum of its proper divisors (18904561).

77141729 is an frugal number, since it uses more digits than its factorization.

77141729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its digits is 24696, while the sum is 38.

The square root of 77141729 is about 8783.0364339447. The cubic root of 77141729 is about 425.6929484491.

The spelling of 77141729 in words is "seventy-seven million, one hundred forty-one thousand, seven hundred twenty-nine".