90777 has 4 divisors (see below), whose sum is σ = 121040. Its totient is φ = 60516.

The previous prime is 90749. The next prime is 90787. The reversal of 90777 is 77709.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 77709 = 3 ⋅25903.

It is not a de Polignac number, because 90777 - 2¹⁰ = 89753 is a prime.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90787) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15127 + ... + 15132.

It is an arithmetic number, because the mean of its divisors is an integer number (30260).

2⁹⁰⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

90777 is a deficient number, since it is larger than the sum of its proper divisors (30263).

90777 is a wasteful number, since it uses less digits than its factorization.

90777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30262.

The product of its (nonzero) digits is 3087, while the sum is 30.

The square root of 90777 is about 301.2922169589. The cubic root of 90777 is about 44.9426429731.

The spelling of 90777 in words is "ninety thousand, seven hundred seventy-seven".