77777700077 has 64 divisors (see below), whose sum is σ = 102434734080. Its totient is φ = 57294302400.

The previous prime is 77777700067. The next prime is 77777700083. The reversal of 77777700077 is 77000777777.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 77777700077 - 2¹⁴ = 77777683693 is a prime.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 77777699995 and 77777700031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77777700067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23517458 + ... + 23520764.

It is an arithmetic number, because the mean of its divisors is an integer number (1600542720).

Almost surely, 2^77777700077 is an apocalyptic number.

77777700077 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

77777700077 is a deficient number, since it is larger than the sum of its proper divisors (24657034003).

77777700077 is a wasteful number, since it uses less digits than its factorization.

77777700077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582.

The product of its (nonzero) digits is 5764801, while the sum is 56.

The spelling of 77777700077 in words is "seventy-seven billion, seven hundred seventy-seven million, seven hundred thousand, seventy-seven".