77047880625 has 45 divisors (see below), whose sum is σ = 139107298759. Its totient is φ = 41081100000.

The previous prime is 77047880599. The next prime is 77047880633. The reversal of 77047880625 is 52608874077.

It is a happy number.

The square root of 77047880625 is 277575.

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

77047880625 is a `hidden beast` number, since 7 + 7 + 0 + 4 + 7 + 8 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 65152052001 + 11895828624 = 255249^2 + 109068^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 77047880625 - 2²³ = 77039492017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 20816275 + ... + 20819975.

Almost surely, 2^77047880625 is an apocalyptic number.

77047880625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77047880625 is the 277575-th square number.

77047880625 is the 138788-th centered octagonal number.

It is an amenable number.

77047880625 is a deficient number, since it is larger than the sum of its proper divisors (62059418134).

77047880625 is an frugal number, since it uses more digits than its factorization.

77047880625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 77047880625 in words is "seventy-seven billion, forty-seven million, eight hundred eighty thousand, six hundred twenty-five".