77604384 has 96 divisors (see below), whose sum is σ = 239367744. Its totient is φ = 21703680.

The previous prime is 77604367. The next prime is 77604389. The reversal of 77604384 is 48340677.

It is a happy number.

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

It is a super-3 number, since 3×77604384³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77604389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10902 + ... + 16554.

It is an arithmetic number, because the mean of its divisors is an integer number (2493414).

Almost surely, 2^77604384 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 77604384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119683872).

77604384 is an abundant number, since it is smaller than the sum of its proper divisors (161763360).

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

77604384 is a wasteful number, since it uses less digits than its factorization.

77604384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 77604384 is about 8809.3350486856. The cubic root of 77604384 is about 426.5422792787.

The spelling of 77604384 in words is "seventy-seven million, six hundred four thousand, three hundred eighty-four".