77720251075002 has 12 divisors (see below), whose sum is σ = 168393877329210. Its totient is φ = 25906750358328.

The previous prime is 77720251074971. The next prime is 77720251075009. The reversal of 77720251075002 is 20057015202777.

77720251075002 is a `hidden beast` number, since 7 + 77 + 20 + 2 + 51 + 0 + 7 + 500 + 2 = 666.

77720251075002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 54096481010961 + 23623770064041 = 7355031^2 + 4860429^2 .

It is a super-2 number, since 2×77720251075002² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77720251075009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2158895863177 + ... + 2158895863212.

Almost surely, 2^{77720251075002} is an apocalyptic number.

77720251075002 is an abundant number, since it is smaller than the sum of its proper divisors (90673626254208).

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

77720251075002 is a wasteful number, since it uses less digits than its factorization.

77720251075002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317791726397 (or 4317791726394 counting only the distinct ones).

The product of its (nonzero) digits is 480200, while the sum is 45.

Adding to 77720251075002 its reverse (20057015202777), we get a palindrome (97777266277779).

The spelling of 77720251075002 in words is "seventy-seven trillion, seven hundred twenty billion, two hundred fifty-one million, seventy-five thousand, two".