77312512 has 40 divisors (see below), whose sum is σ = 159489792. Its totient is φ = 37401600.

The previous prime is 77312507. The next prime is 77312513. The reversal of 77312512 is 21521377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77312513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13437 + ... + 18307.

Almost surely, 2^77312512 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 77312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79744896).

77312512 is an abundant number, since it is smaller than the sum of its proper divisors (82177280).

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

77312512 is an equidigital number, since it uses as much as digits as its factorization.

77312512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4920 (or 4904 counting only the distinct ones).

The product of its digits is 2940, while the sum is 28.

The square root of 77312512 is about 8792.7533799146. The cubic root of 77312512 is about 426.0068621375.

Adding to 77312512 its reverse (21521377), we get a palindrome (98833889).

The spelling of 77312512 in words is "seventy-seven million, three hundred twelve thousand, five hundred twelve".