77919407460 has 96 divisors (see below), whose sum is σ = 242571732480. Its totient is φ = 20765154816.

The previous prime is 77919407459. The next prime is 77919407471. The reversal of 77919407460 is 6470491977.

77919407460 is a `hidden beast` number, since 7 + 7 + 91 + 94 + 0 + 7 + 460 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77919407397 and 77919407406.

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 31 ways as a sum of consecutive naturals, for example, 809244 + ... + 900396.

It is an arithmetic number, because the mean of its divisors is an integer number (2526788880).

Almost surely, 2^77919407460 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 77919407460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121285866240).

77919407460 is an abundant number, since it is smaller than the sum of its proper divisors (164652325020).

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

77919407460 is a wasteful number, since it uses less digits than its factorization.

77919407460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92754 (or 92746 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 77919407460 in words is "seventy-seven billion, nine hundred nineteen million, four hundred seven thousand, four hundred sixty".