8072428761 has 16 divisors (see below), whose sum is σ = 12010489920. Its totient is φ = 5358517920.

The previous prime is 8072428747. The next prime is 8072428769. The reversal of 8072428761 is 1678242708.

8072428761 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8072428761 - 2⁵ = 8072428729 is a prime.

It is a super-2 number, since 2×8072428761² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8072428769) 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 15 ways as a sum of consecutive naturals, for example, 635295 + ... + 647876.

It is an arithmetic number, because the mean of its divisors is an integer number (750655620).

Almost surely, 2^8072428761 is an apocalyptic number.

It is an amenable number.

8072428761 is a deficient number, since it is larger than the sum of its proper divisors (3938061159).

8072428761 is a wasteful number, since it uses less digits than its factorization.

8072428761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283413 (or 1283407 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8072428761 is about 89846.6958824864. The cubic root of 8072428761 is about 2006.0176061326.

It can be divided in two parts, 807242 and 8761, that added together give a triangular number (816003 = T₁₂₇₇).

The spelling of 8072428761 in words is "eight billion, seventy-two million, four hundred twenty-eight thousand, seven hundred sixty-one".