77229216 has 144 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 24161280.

The previous prime is 77229211. The next prime is 77229221. The reversal of 77229216 is 61292277.

77229216 = 118³ + 119³ + ... + 149³.

It is an interprime number because it is at equal distance from previous prime (77229211) and next prime (77229221).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77229211) 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 23 ways as a sum of consecutive naturals, for example, 589471 + ... + 589601.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^77229216 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 77229216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

77229216 is an abundant number, since it is smaller than the sum of its proper divisors (156284064).

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

77229216 is a wasteful number, since it uses less digits than its factorization.

77229216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 77229216 is about 8788.0154756350. The cubic root of 77229216 is about 425.8538148150.

The spelling of 77229216 in words is "seventy-seven million, two hundred twenty-nine thousand, two hundred sixteen".