77965460 has 24 divisors (see below), whose sum is σ = 165973416. Its totient is φ = 30758400.

The previous prime is 77965457. The next prime is 77965499. The reversal of 77965460 is 6456977.

It can be written as a sum of positive squares in 4 ways, for example, as 2553604 + 75411856 = 1598^2 + 8684^2 .

It is a super-3 number, since 3×77965460³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25241 + ... + 28160.

It is an arithmetic number, because the mean of its divisors is an integer number (6915559).

Almost surely, 2^77965460 is an apocalyptic number.

It is an amenable number.

77965460 is an abundant number, since it is smaller than the sum of its proper divisors (88007956).

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

77965460 is a wasteful number, since it uses less digits than its factorization.

77965460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53483 (or 53481 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 77965460 is about 8829.8052073644. The cubic root of 77965460 is about 427.2027914947.

The spelling of 77965460 in words is "seventy-seven million, nine hundred sixty-five thousand, four hundred sixty".