77614050240 has 504 divisors, whose sum is σ = 285656548320. Its totient is φ = 19318763520.

The previous prime is 77614050233. The next prime is 77614050257. The reversal of 77614050240 is 4205041677.

77614050240 is a `hidden beast` number, since 7 + 7 + 6 + 1 + 405 + 0 + 240 = 666.

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 = 77614050195 and 77614050204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80262237 + ... + 80263203.

Almost surely, 2^77614050240 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 77614050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142828274160).

77614050240 is an abundant number, since it is smaller than the sum of its proper divisors (208042498080).

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

77614050240 is a wasteful number, since it uses less digits than its factorization.

77614050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 77614050240 in words is "seventy-seven billion, six hundred fourteen million, fifty thousand, two hundred forty".