77209348003225 has 81 divisors (see below), whose sum is σ = 98896387797597. Its totient is φ = 59795244490560.

The previous prime is 77209348003213. The next prime is 77209348003273. The reversal of 77209348003225 is 52230084390277.

The square root of 77209348003225 is 8786885.

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 29615244276121 + 47594103727104 = 5441989^2 + 6898848^2 .

It is not a de Polignac number, because 77209348003225 - 2¹⁹ = 77209347478937 is a prime.

It is a super-2 number, since 2×77209348003225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 287023598391 + ... + 287023598659.

Almost surely, 2^{77209348003225} is an apocalyptic number.

77209348003225 is the 8786885-th square number.

77209348003225 is the 4393443-rd centered octagonal number.

It is an amenable number.

77209348003225 is a deficient number, since it is larger than the sum of its proper divisors (21687039794372).

77209348003225 is an frugal number, since it uses more digits than its factorization.

77209348003225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 77209348003225 in words is "seventy-seven trillion, two hundred nine billion, three hundred forty-eight million, three thousand, two hundred twenty-five".