77145062500 has 189 divisors, whose sum is σ = 187343168383. Its totient is φ = 27775000000.

The previous prime is 77145062479. The next prime is 77145062507. The reversal of 77145062500 is 526054177.

The square root of 77145062500 is 277750.

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

It can be written as a sum of positive squares in 10 ways, for example, as 75177962596 + 1967099904 = 274186^2 + 44352^2 .

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 77145062500.

It is not an unprimeable number, because it can be changed into a prime (77145062507) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 763812450 + ... + 763812550.

Almost surely, 2^77145062500 is an apocalyptic number.

77145062500 is the 277750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77145062500

77145062500 is an abundant number, since it is smaller than the sum of its proper divisors (110198105883).

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

77145062500 is an equidigital number, since it uses as much as digits as its factorization.

77145062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

It can be divided in two parts, 771 and 45062500, that added together give a triangular number (45063271 = T₉₄₉₃).

The spelling of 77145062500 in words is "seventy-seven billion, one hundred forty-five million, sixty-two thousand, five hundred".