77127712 has 48 divisors (see below), whose sum is σ = 155692152. Its totient is φ = 37601280.

The previous prime is 77127709. The next prime is 77127727. The reversal of 77127712 is 21772177.

It can be written as a sum of positive squares in 4 ways, for example, as 74580496 + 2547216 = 8636^2 + 1596^2 .

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, 319912 + ... + 320152.

Almost surely, 2^77127712 is an apocalyptic number.

It is an amenable number.

77127712 is an abundant number, since it is smaller than the sum of its proper divisors (78564440).

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

77127712 is a wasteful number, since it uses less digits than its factorization.

77127712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its digits is 9604, while the sum is 34.

The square root of 77127712 is about 8782.2384390314. The cubic root of 77127712 is about 425.6671634446.

Adding to 77127712 its reverse (21772177), we get a palindrome (98899889).

The spelling of 77127712 in words is "seventy-seven million, one hundred twenty-seven thousand, seven hundred twelve".