77030436006 has 96 divisors (see below), whose sum is σ = 187161287040. Its totient is φ = 22753757952.

The previous prime is 77030436001. The next prime is 77030436017. The reversal of 77030436006 is 60063403077.

77030436006 is a `hidden beast` number, since 7 + 7 + 0 + 3 + 0 + 43 + 600 + 6 = 666.

It is a super-2 number, since 2×77030436006² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77030436001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907041 + ... + 988323.

It is an arithmetic number, because the mean of its divisors is an integer number (1949596740).

Almost surely, 2^77030436006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77030436006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93580643520).

77030436006 is an abundant number, since it is smaller than the sum of its proper divisors (110130851034).

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

77030436006 is a wasteful number, since it uses less digits than its factorization.

77030436006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81490 (or 81487 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 77030436006 in words is "seventy-seven billion, thirty million, four hundred thirty-six thousand, six".