77888 has 14 divisors (see below), whose sum is σ = 154686. Its totient is φ = 38912.

The previous prime is 77867. The next prime is 77893. The reversal of 77888 is 88877.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 16384 = 248^2 + 128^2 .

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 545 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (11049).

2⁷⁷⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

77888 is a deficient number, since it is larger than the sum of its proper divisors (76798).

77888 is a wasteful number, since it uses less digits than its factorization.

77888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1219 counting only the distinct ones).

The product of its digits is 25088, while the sum is 38.

The square root of 77888 is about 279.0842166802. The cubic root of 77888 is about 42.7061266888.

The spelling of 77888 in words is "seventy-seven thousand, eight hundred eighty-eight".