77163840 has 280 divisors, whose sum is σ = 296890440. Its totient is φ = 18911232.

The previous prime is 77163839. The next prime is 77163859. The reversal of 77163840 is 4836177.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 66194496 = 3312^2 + 8136^2 .

It is a super-3 number, since 3×77163840³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77163795 and 77163804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336846 + ... + 337074.

It is an arithmetic number, because the mean of its divisors is an integer number (1060323).

Almost surely, 2^77163840 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 77163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148445220).

77163840 is an abundant number, since it is smaller than the sum of its proper divisors (219726600).

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

77163840 is a wasteful number, since it uses less digits than its factorization.

77163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77163840 is about 8784.2950770110. The cubic root of 77163840 is about 425.7336164410.

The spelling of 77163840 in words is "seventy-seven million, one hundred sixty-three thousand, eight hundred forty".