77310912 has 224 divisors, whose sum is σ = 253983744. Its totient is φ = 20275200.

The previous prime is 77310887. The next prime is 77310913. The reversal of 77310912 is 21901377.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×77310912² = 11953954228543488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77310912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77310913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267362 + ... + 1267422.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856).

Almost surely, 2^77310912 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 77310912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126991872).

77310912 is an abundant number, since it is smaller than the sum of its proper divisors (176672832).

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

77310912 is a wasteful number, since it uses less digits than its factorization.

77310912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 77310912 is about 8792.6623954295. The cubic root of 77310912 is about 426.0039233477.

The spelling of 77310912 in words is "seventy-seven million, three hundred ten thousand, nine hundred twelve".