77086154016 has 144 divisors (see below), whose sum is σ = 238382444664. Its totient is φ = 23530217472.

The previous prime is 77086154003. The next prime is 77086154021. The reversal of 77086154016 is 61045168077.

It can be written as a sum of positive squares in 4 ways, for example, as 73581987600 + 3504166416 = 271260^2 + 59196^2 .

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

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

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 23 ways as a sum of consecutive naturals, for example, 31615 + ... + 393918.

Almost surely, 2^77086154016 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 77086154016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119191222332).

77086154016 is an abundant number, since it is smaller than the sum of its proper divisors (161296290648).

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

77086154016 is a wasteful number, since it uses less digits than its factorization.

77086154016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425603 (or 425592 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 77086154016 in words is "seventy-seven billion, eighty-six million, one hundred fifty-four thousand, sixteen".