77905360 has 80 divisors (see below), whose sum is σ = 196643664. Its totient is φ = 28532736.

The previous prime is 77905351. The next prime is 77905391. The reversal of 77905360 is 6350977.

It can be written as a sum of positive squares in 8 ways, for example, as 4700224 + 73205136 = 2168^2 + 8556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179704 + ... + 180136.

Almost surely, 2^77905360 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 77905360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98321832).

77905360 is an abundant number, since it is smaller than the sum of its proper divisors (118738304).

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

77905360 is a wasteful number, since it uses less digits than its factorization.

77905360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 77905360 is about 8826.4013051753. The cubic root of 77905360 is about 427.0929929258.

The spelling of 77905360 in words is "seventy-seven million, nine hundred five thousand, three hundred sixty".