77305712 has 40 divisors (see below), whose sum is σ = 164013312. Its totient is φ = 35006400.

The previous prime is 77305693. The next prime is 77305717. The reversal of 77305712 is 21750377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77305717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57593 + ... + 58919.

Almost surely, 2^77305712 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 77305712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82006656).

77305712 is an abundant number, since it is smaller than the sum of its proper divisors (86707600).

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

77305712 is a wasteful number, since it uses less digits than its factorization.

77305712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 77305712 is about 8792.3666893505. The cubic root of 77305712 is about 425.9943720006.

The spelling of 77305712 in words is "seventy-seven million, three hundred five thousand, seven hundred twelve".