77430853696 has 63 divisors (see below), whose sum is σ = 178773844509. Its totient is φ = 33177973248.

The previous prime is 77430853679. The next prime is 77430853723. The reversal of 77430853696 is 69635803477.

The square root of 77430853696 is 278264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15609004096 + 61821849600 = 124936^2 + 248640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77430853696.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15580300 + ... + 15585268.

Almost surely, 2^77430853696 is an apocalyptic number.

77430853696 is the 278264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77430853696

77430853696 is an abundant number, since it is smaller than the sum of its proper divisors (101342990813).

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

77430853696 is an frugal number, since it uses more digits than its factorization.

77430853696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9964 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 77430853696 in words is "seventy-seven billion, four hundred thirty million, eight hundred fifty-three thousand, six hundred ninety-six".