2007500760769 has 9 divisors (see below), whose sum is σ = 2335267524387. Its totient is φ = 1720706436624.

The previous prime is 2007500760761. The next prime is 2007500760787. The reversal of 2007500760769 is 9670670057002.

It is a happy number.

The square root of 2007500760769 is 1416863.

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., 734214200769 + 1273286560000 = 856863^2 + 1128400^2 .

It is not a de Polignac number, because 2007500760769 - 2³ = 2007500760761 is a prime.

It is a super-2 number, since 2×2007500760769² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2007500760761) 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, 9816837 + ... + 10019245.

Almost surely, 2^{2007500760769} is an apocalyptic number.

2007500760769 is the 1416863-rd square number.

2007500760769 is the 708432-nd centered octagonal number.

It is an amenable number.

2007500760769 is a deficient number, since it is larger than the sum of its proper divisors (327766763618).

2007500760769 is an frugal number, since it uses more digits than its factorization.

2007500760769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404832 (or 202416 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 49.

Multiplying 2007500760769 by its sum of digits (49), we get a square (98367537277681 = 9918041²).

2007500760769 divided by its sum of digits (49) gives a square (40969403281 = 202409²).

The spelling of 2007500760769 in words is "two trillion, seven billion, five hundred million, seven hundred sixty thousand, seven hundred sixty-nine".