77006334460 has 96 divisors (see below), whose sum is σ = 189423360000. Its totient is φ = 25983820800.

The previous prime is 77006334437. The next prime is 77006334463. The reversal of 77006334460 is 6443360077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77006334463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120541 + ... + 410539.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160000).

Almost surely, 2^77006334460 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 77006334460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94711680000).

77006334460 is an abundant number, since it is smaller than the sum of its proper divisors (112417025540).

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

77006334460 is a wasteful number, since it uses less digits than its factorization.

77006334460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290107 (or 290105 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 77006334460 in words is "seventy-seven billion, six million, three hundred thirty-four thousand, four hundred sixty".