77145312 has 48 divisors (see below), whose sum is σ = 211317120. Its totient is φ = 24596352.

The previous prime is 77145287. The next prime is 77145323. The reversal of 77145312 is 21354177.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 77145312.

It is a congruent number.

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, 15262 + ... + 19677.

It is an arithmetic number, because the mean of its divisors is an integer number (4402440).

Almost surely, 2^77145312 is an apocalyptic number.

It is an amenable number.

77145312 is an abundant number, since it is smaller than the sum of its proper divisors (134171808).

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

77145312 is a wasteful number, since it uses less digits than its factorization.

77145312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34975 (or 34967 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 77145312 is about 8783.2404043155. The cubic root of 77145312 is about 425.6995390638.

Adding to 77145312 its reverse (21354177), we get a palindrome (98499489).

The spelling of 77145312 in words is "seventy-seven million, one hundred forty-five thousand, three hundred twelve".