90000000000077 has 2 divisors, whose sum is σ = 90000000000078. Its totient is φ = 90000000000076.

The previous prime is 89999999999993. The next prime is 90000000000101. The reversal of 90000000000077 is 77000000000009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79502795276356 + 10497204723721 = 8916434^2 + 3239939^2 .

It is a cyclic number.

It is not a de Polignac number, because 90000000000077 - 2³⁶ = 89931280523341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 89999999999962 and 90000000000061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90000000003077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45000000000038 + 45000000000039.

It is an arithmetic number, because the mean of its divisors is an integer number (45000000000039).

Almost surely, 2^{90000000000077} is an apocalyptic number.

It is an amenable number.

90000000000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

90000000000077 is an equidigital number, since it uses as much as digits as its factorization.

90000000000077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 441, while the sum is 23.

The spelling of 90000000000077 in words is "ninety trillion, seventy-seven", and thus it is an aban number and an uban number.