77301312 has 112 divisors (see below), whose sum is σ = 236354112. Its totient is φ = 22036480.

The previous prime is 77301281. The next prime is 77301313. The reversal of 77301312 is 21310377.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (77301313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34828 + ... + 36980.

Almost surely, 2^77301312 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 77301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118177056).

77301312 is an abundant number, since it is smaller than the sum of its proper divisors (159052800).

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

77301312 is a wasteful number, since it uses less digits than its factorization.

77301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 77301312 is about 8792.1164687463. The cubic root of 77301312 is about 425.9862897569.

Adding to 77301312 its reverse (21310377), we get a palindrome (98611689).

The spelling of 77301312 in words is "seventy-seven million, three hundred one thousand, three hundred twelve".