77808384 has 72 divisors (see below), whose sum is σ = 230113520. Its totient is φ = 25933824.

The previous prime is 77808377. The next prime is 77808389. The reversal of 77808384 is 48380877.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (77808389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1284 + ... + 12540.

Almost surely, 2^77808384 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 77808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115056760).

77808384 is an abundant number, since it is smaller than the sum of its proper divisors (152305136).

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

77808384 is a wasteful number, since it uses less digits than its factorization.

77808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11262 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 77808384 is about 8820.9060759085. The cubic root of 77808384 is about 426.9157053062.

The spelling of 77808384 in words is "seventy-seven million, eight hundred eight thousand, three hundred eighty-four".