77478722500 has 135 divisors (see below), whose sum is σ = 179429580561. Its totient is φ = 29260152000.

The previous prime is 77478722483. The next prime is 77478722537. The reversal of 77478722500 is 522787477.

The square root of 77478722500 is 278350.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18996006276 + 58482716224 = 137826^2 + 241832^2 .

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 264432354 + ... + 264432646.

Almost surely, 2^77478722500 is an apocalyptic number.

77478722500 is the 278350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77478722500

77478722500 is an abundant number, since it is smaller than the sum of its proper divisors (101950858061).

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

77478722500 is an equidigital number, since it uses as much as digits as its factorization.

77478722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1536640, while the sum is 49.

Multiplying 77478722500 by its sum of digits (49), we get a square (3796457402500 = 1948450²).

The spelling of 77478722500 in words is "seventy-seven billion, four hundred seventy-eight million, seven hundred twenty-two thousand, five hundred".