77274841753321 has 9 divisors (see below), whose sum is σ = 77349273111831. Its totient is φ = 77200481974872.

The previous prime is 77274841753309. The next prime is 77274841753337. The reversal of 77274841753321 is 12335714847277.

The square root of 77274841753321 is 8790611.

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

It can be written as a sum of positive squares in only one way, i.e., 3152453515225 + 74122388238096 = 1775515^2 + 8609436^2 .

It is not a de Polignac number, because 77274841753321 - 2¹⁵ = 77274841720553 is a prime.

It is a super-2 number, since 2×77274841753321² (a number of 29 digits) contains 22 as substring.

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 77274841753321.

It is not an unprimeable number, because it can be changed into a prime (77274841753301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10663007520 + ... + 10663014766.

Almost surely, 2^{77274841753321} is an apocalyptic number.

77274841753321 is the 8790611-st square number.

77274841753321 is the 4395306-th centered octagonal number.

It is an amenable number.

77274841753321 is a deficient number, since it is larger than the sum of its proper divisors (74431358510).

77274841753321 is an frugal number, since it uses more digits than its factorization.

77274841753321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920 (or 8460 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 61.

The spelling of 77274841753321 in words is "seventy-seven trillion, two hundred seventy-four billion, eight hundred forty-one million, seven hundred fifty-three thousand, three hundred twenty-one".