77498724728896 has 63 divisors (see below), whose sum is σ = 158060574145047. Its totient is φ = 37700814620160.

The previous prime is 77498724728869. The next prime is 77498724728899. The reversal of 77498724728896 is 69882742789477.

The square root of 77498724728896 is 8803336.

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

It can be written as a sum of positive squares in 4 ways, for example, as 47747547201600 + 29751177527296 = 6909960^2 + 5454464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77498724728899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2605772586 + ... + 2605802326.

Almost surely, 2^{77498724728896} is an apocalyptic number.

77498724728896 is the 8803336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77498724728896

77498724728896 is an abundant number, since it is smaller than the sum of its proper divisors (80561849416151).

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

77498724728896 is an frugal number, since it uses more digits than its factorization.

77498724728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59568 (or 29780 counting only the distinct ones).

The product of its digits is 38236520448, while the sum is 88.

The spelling of 77498724728896 in words is "seventy-seven trillion, four hundred ninety-eight billion, seven hundred twenty-four million, seven hundred twenty-eight thousand, eight hundred ninety-six".