771142902272 has 50 divisors (see below), whose sum is σ = 1548640786803. Its totient is φ = 383614235648.

The previous prime is 771142902263. The next prime is 771142902307. The reversal of 771142902272 is 272209241177.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 593787371776 + 177355530496 = 770576^2 + 421136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=620944.

It is a super-2 number, since 2×771142902272² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 3914430878 + ... + 3914431074.

Almost surely, 2^771142902272 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 771142902272

771142902272 is an abundant number, since it is smaller than the sum of its proper divisors (777497884531).

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

771142902272 is an frugal number, since it uses more digits than its factorization.

771142902272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 771142902272 in words is "seven hundred seventy-one billion, one hundred forty-two million, nine hundred two thousand, two hundred seventy-two".