77609808 has 60 divisors (see below), whose sum is σ = 221319540. Its totient is φ = 25379328.

The previous prime is 77609789. The next prime is 77609849. The reversal of 77609808 is 80890677.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 12194064 = 8088^2 + 3492^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2548 + ... + 12716.

It is an arithmetic number, because the mean of its divisors is an integer number (3688659).

Almost surely, 2^77609808 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 77609808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110659770).

77609808 is an abundant number, since it is smaller than the sum of its proper divisors (143709732).

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

77609808 is a wasteful number, since it uses less digits than its factorization.

77609808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10236 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 77609808 is about 8809.6428985516. The cubic root of 77609808 is about 426.5522164811.

The spelling of 77609808 in words is "seventy-seven million, six hundred nine thousand, eight hundred eight".