77658912 has 84 divisors (see below), whose sum is σ = 229300470. Its totient is φ = 25878528.

The previous prime is 77658901. The next prime is 77658913. The reversal of 77658912 is 21985677.

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 8503056 = 8316^2 + 2916^2 .

It is a super-2 number, since 2×77658912² = 12061813226047488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77658913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21664 + ... + 24992.

Almost surely, 2^77658912 is an apocalyptic number.

77658912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77658912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114650235).

77658912 is an abundant number, since it is smaller than the sum of its proper divisors (151641558).

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

77658912 is an equidigital number, since it uses as much as digits as its factorization.

77658912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3334 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 77658912 is about 8812.4294039726. The cubic root of 77658912 is about 426.6421578804.

The spelling of 77658912 in words is "seventy-seven million, six hundred fifty-eight thousand, nine hundred twelve".