77727312 has 60 divisors (see below), whose sum is σ = 234267124. Its totient is φ = 23915520.

The previous prime is 77727253. The next prime is 77727313. The reversal of 77727312 is 21372777.

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 38489616 = 6264^2 + 6204^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77727313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18889 + ... + 22632.

Almost surely, 2^77727312 is an apocalyptic number.

77727312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77727312 is an abundant number, since it is smaller than the sum of its proper divisors (156539812).

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

77727312 is a wasteful number, since it uses less digits than its factorization.

77727312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41548 (or 41539 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 77727312 is about 8816.3094319562. The cubic root of 77727312 is about 426.7673796540.

The spelling of 77727312 in words is "seventy-seven million, seven hundred twenty-seven thousand, three hundred twelve".