77764 has 6 divisors (see below), whose sum is σ = 136094. Its totient is φ = 38880.

The previous prime is 77761. The next prime is 77773. The reversal of 77764 is 46777.

77764 = 45² + 46² + ... + 68².

It can be written as a sum of positive squares in only one way, i.e., 57600 + 20164 = 240^2 + 142^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (77761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9717 + ... + 9724.

2⁷⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

77764 is a deficient number, since it is larger than the sum of its proper divisors (58330).

77764 is a wasteful number, since it uses less digits than its factorization.

77764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19445 (or 19443 counting only the distinct ones).

The product of its digits is 8232, while the sum is 31.

The square root of 77764 is about 278.8619730261. The cubic root of 77764 is about 42.6834515124.

It can be divided in two parts, 777 and 64, that added together give a square (841 = 29²).

The spelling of 77764 in words is "seventy-seven thousand, seven hundred sixty-four".