7800245761 has 81 divisors (see below), whose sum is σ = 10591801731. Its totient is φ = 5723071200.

The previous prime is 7800245701. The next prime is 7800245767. The reversal of 7800245761 is 1675420087.

The square root of 7800245761 is 88319.

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., 6979767025 + 820478736 = 83545^2 + 28644^2 .

It is not a de Polignac number, because 7800245761 - 2⁷ = 7800245633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7800245767) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 210817435 + ... + 210817471.

Almost surely, 2^7800245761 is an apocalyptic number.

7800245761 is the 88319-th square number.

7800245761 is the 44160-th centered octagonal number.

It is an amenable number.

7800245761 is a deficient number, since it is larger than the sum of its proper divisors (2791555970).

7800245761 is a wasteful number, since it uses less digits than its factorization.

7800245761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The cubic root of 7800245761 is about 1983.2133111530.

The spelling of 7800245761 in words is "seven billion, eight hundred million, two hundred forty-five thousand, seven hundred sixty-one".