77669088 has 96 divisors (see below), whose sum is σ = 238775040. Its totient is φ = 21642240.

The previous prime is 77669083. The next prime is 77669089. The reversal of 77669088 is 88096677.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 77669088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77669083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26143 + ... + 28961.

It is an arithmetic number, because the mean of its divisors is an integer number (2487240).

Almost surely, 2^77669088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77669088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119387520).

77669088 is an abundant number, since it is smaller than the sum of its proper divisors (161105952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77669088 is a wasteful number, since it uses less digits than its factorization.

77669088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 77669088 is about 8813.0067513874. The cubic root of 77669088 is about 426.6607920198.

The spelling of 77669088 in words is "seventy-seven million, six hundred sixty-nine thousand, eighty-eight".