77406304 has 48 divisors (see below), whose sum is σ = 169873200. Its totient is φ = 34504704.

The previous prime is 77406229. The next prime is 77406311. The reversal of 77406304 is 40360477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6592 + ... + 14080.

It is an arithmetic number, because the mean of its divisors is an integer number (3539025).

Almost surely, 2^77406304 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 77406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84936600).

77406304 is an abundant number, since it is smaller than the sum of its proper divisors (92466896).

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

77406304 is a wasteful number, since it uses less digits than its factorization.

77406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 77406304 is about 8798.0852462340. The cubic root of 77406304 is about 426.1790631947.

The spelling of 77406304 in words is "seventy-seven million, four hundred six thousand, three hundred four".