77161405440 has 528 divisors, whose sum is σ = 289360186272. Its totient is φ = 17497718784.

The previous prime is 77161405439. The next prime is 77161405441. The reversal of 77161405440 is 4450416177.

It is an interprime number because it is at equal distance from previous prime (77161405439) and next prime (77161405441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77161405441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 118164154 + ... + 118164806.

Almost surely, 2^77161405440 is an apocalyptic number.

77161405440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77161405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144680093136).

77161405440 is an abundant number, since it is smaller than the sum of its proper divisors (212198780832).

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

77161405440 is a wasteful number, since it uses less digits than its factorization.

77161405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 77161405440 in words is "seventy-seven billion, one hundred sixty-one million, four hundred five thousand, four hundred forty".