77058984025 has 27 divisors (see below), whose sum is σ = 97303539133. Its totient is φ = 60537917600.

The previous prime is 77058983999. The next prime is 77058984059. The reversal of 77058984025 is 52048985077.

The square root of 77058984025 is 277595.

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 32752729 + 77026231296 = 5723^2 + 277536^2 .

It is not a de Polignac number, because 77058984025 - 2²¹ = 77056886873 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81890055 + ... + 81890995.

Almost surely, 2^77058984025 is an apocalyptic number.

77058984025 is the 277595-th square number.

77058984025 is the 138798-th centered octagonal number.

It is an amenable number.

77058984025 is a deficient number, since it is larger than the sum of its proper divisors (20244555108).

77058984025 is an frugal number, since it uses more digits than its factorization.

77058984025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 77058984025 in words is "seventy-seven billion, fifty-eight million, nine hundred eighty-four thousand, twenty-five".