8277761825 has 48 divisors (see below), whose sum is σ = 11183331840. Its totient is φ = 6054912000.

The previous prime is 8277761809. The next prime is 8277761831. The reversal of 8277761825 is 5281677728.

8277761825 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 8277761825 - 2⁴ = 8277761809 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9438287 + ... + 9439163.

It is an arithmetic number, because the mean of its divisors is an integer number (232986080).

Almost surely, 2^8277761825 is an apocalyptic number.

It is an amenable number.

8277761825 is a deficient number, since it is larger than the sum of its proper divisors (2905570015).

8277761825 is a wasteful number, since it uses less digits than its factorization.

8277761825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1573 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 53.

The square root of 8277761825 is about 90982.2060899822. The cubic root of 8277761825 is about 2022.8839817882.

The spelling of 8277761825 in words is "eight billion, two hundred seventy-seven million, seven hundred sixty-one thousand, eight hundred twenty-five".