8260800735 has 64 divisors (see below), whose sum is σ = 15622295040. Its totient is φ = 3681914880.

The previous prime is 8260800731. The next prime is 8260800763. The reversal of 8260800735 is 5370080628.

It is not a de Polignac number, because 8260800735 - 2² = 8260800731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8260800693 and 8260800702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8260800731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86371 + ... + 154859.

It is an arithmetic number, because the mean of its divisors is an integer number (244098360).

Almost surely, 2^8260800735 is an apocalyptic number.

8260800735 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8260800735 is a deficient number, since it is larger than the sum of its proper divisors (7361494305).

8260800735 is a wasteful number, since it uses less digits than its factorization.

8260800735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68568.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 8260800735 is about 90888.9472653303. The cubic root of 8260800735 is about 2021.5014108873.

The spelling of 8260800735 in words is "eight billion, two hundred sixty million, eight hundred thousand, seven hundred thirty-five".