77730312 has 64 divisors (see below), whose sum is σ = 214732800. Its totient is φ = 23250240.

The previous prime is 77730227. The next prime is 77730313. The reversal of 77730312 is 21303777.

It is a self number, because there is not a number n which added to its sum of digits gives 77730312.

It is not an unprimeable number, because it can be changed into a prime (77730313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18993 + ... + 22719.

It is an arithmetic number, because the mean of its divisors is an integer number (3355200).

Almost surely, 2^77730312 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 77730312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107366400).

77730312 is an abundant number, since it is smaller than the sum of its proper divisors (137002488).

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

77730312 is a wasteful number, since it uses less digits than its factorization.

77730312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 30.

The square root of 77730312 is about 8816.4795695334. The cubic root of 77730312 is about 426.7728701551.

The spelling of 77730312 in words is "seventy-seven million, seven hundred thirty thousand, three hundred twelve".