77254029216 has 288 divisors, whose sum is σ = 273819087360. Its totient is φ = 20116242432.

The previous prime is 77254029163. The next prime is 77254029283. The reversal of 77254029216 is 61292045277.

77254029216 is a `hidden beast` number, since 7 + 7 + 2 + 540 + 2 + 92 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2051776 + ... + 2089088.

It is an arithmetic number, because the mean of its divisors is an integer number (950760720).

Almost surely, 2^77254029216 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 77254029216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136909543680).

77254029216 is an abundant number, since it is smaller than the sum of its proper divisors (196565058144).

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

77254029216 is a wasteful number, since it uses less digits than its factorization.

77254029216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37428 (or 37417 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 77254029216 in words is "seventy-seven billion, two hundred fifty-four million, twenty-nine thousand, two hundred sixteen".