60777 has 8 divisors (see below), whose sum is σ = 90080. Its totient is φ = 40500.

The previous prime is 60773. The next prime is 60779. The reversal of 60777 is 77706.

It is not a de Polignac number, because 60777 - 2² = 60773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2251 = 60777 / (6 + 0 + 7 + 7 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 60777.

It is not an unprimeable number, because it can be changed into a prime (60773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1099 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (11260).

2⁶⁰⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

60777 is a deficient number, since it is larger than the sum of its proper divisors (29303).

60777 is a wasteful number, since it uses less digits than its factorization.

60777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 60777 is about 246.5299170486. The cubic root of 60777 is about 39.3169439203.

Adding to 60777 its product of nonzero digits (2058), we get a triangular number (62835 = T₃₅₄).

It can be divided in two parts, 6077 and 7, that added together give a square (6084 = 78²).

The spelling of 60777 in words is "sixty thousand, seven hundred seventy-seven".