8082777010 has 64 divisors (see below), whose sum is σ = 18289131264. Its totient is φ = 2519278080.

The previous prime is 8082776987. The next prime is 8082777151. The reversal of 8082777010 is 107772808.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49794 + ... + 136546.

It is an arithmetic number, because the mean of its divisors is an integer number (285767676).

Almost surely, 2^8082777010 is an apocalyptic number.

8082777010 is an abundant number, since it is smaller than the sum of its proper divisors (10206354254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8082777010 is a wasteful number, since it uses less digits than its factorization.

8082777010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86800 (or 86778 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 40.

The square root of 8082777010 is about 89904.2658053554. The cubic root of 8082777010 is about 2006.8744282125.

The spelling of 8082777010 in words is "eight billion, eighty-two million, seven hundred seventy-seven thousand, ten".