77228843328 has 168 divisors, whose sum is σ = 272446382208. Its totient is φ = 20368032768.

The previous prime is 77228843323. The next prime is 77228843333. The reversal of 77228843328 is 82334882277.

77228843328 is a `hidden beast` number, since 7 + 7 + 228 + 84 + 332 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (77228843323) and next prime (77228843333).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77228843323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684276 + ... + 789107.

It is an arithmetic number, because the mean of its divisors is an integer number (1621704656).

Almost surely, 2^77228843328 is an apocalyptic number.

77228843328 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

77228843328 is an abundant number, since it is smaller than the sum of its proper divisors (195217538880).

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

77228843328 is a wasteful number, since it uses less digits than its factorization.

77228843328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473421 (or 1473408 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 77228843328 in words is "seventy-seven billion, two hundred twenty-eight million, eight hundred forty-three thousand, three hundred twenty-eight".