77072746720253 has 16 divisors (see below), whose sum is σ = 79069442002944. Its totient is φ = 75091421347200.

The previous prime is 77072746720127. The next prime is 77072746720261. The reversal of 77072746720253 is 35202764727077.

It is a cyclic number.

It is not a de Polignac number, because 77072746720253 - 2³⁰ = 77071672978429 is a prime.

It is a super-4 number, since 4×77072746720253⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77072746720192 and 77072746720201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77072746720283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11428553 + ... + 16874753.

It is an arithmetic number, because the mean of its divisors is an integer number (4941840125184).

Almost surely, 2^{77072746720253} is an apocalyptic number.

It is an amenable number.

77072746720253 is a deficient number, since it is larger than the sum of its proper divisors (1996695282691).

77072746720253 is a wasteful number, since it uses less digits than its factorization.

77072746720253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447612.

The product of its (nonzero) digits is 48404160, while the sum is 59.

The spelling of 77072746720253 in words is "seventy-seven trillion, seventy-two billion, seven hundred forty-six million, seven hundred twenty thousand, two hundred fifty-three".