77049 has 12 divisors (see below), whose sum is σ = 127296. Its totient is φ = 43992.

The previous prime is 77047. The next prime is 77069. The reversal of 77049 is 94077.

It is not a de Polignac number, because 77049 - 2¹ = 77047 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (10608).

2⁷⁷⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

77049 is a deficient number, since it is larger than the sum of its proper divisors (50247).

77049 is a wasteful number, since it uses less digits than its factorization.

77049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 77049 is about 277.5770163396. The cubic root of 77049 is about 42.5522310546.

It can be divided in two parts, 7 and 7049, that added together give a square (7056 = 84²).

The spelling of 77049 in words is "seventy-seven thousand, forty-nine".