7677457764 has 24 divisors (see below), whose sum is σ = 17931338880. Its totient is φ = 2556685344.

The previous prime is 7677457763. The next prime is 7677457789. The reversal of 7677457764 is 4677547767.

It is a junction number, because it is equal to n+sod(n) for n = 7677457698 and 7677457707.

It is not an unprimeable number, because it can be changed into a prime (7677457763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 295419 + ... + 320354.

It is an arithmetic number, because the mean of its divisors is an integer number (747139120).

Almost surely, 2^7677457764 is an apocalyptic number.

It is an amenable number.

7677457764 is an abundant number, since it is smaller than the sum of its proper divisors (10253881116).

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

7677457764 is a wasteful number, since it uses less digits than its factorization.

7677457764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616819 (or 616817 counting only the distinct ones).

The product of its digits is 48404160, while the sum is 60.

The square root of 7677457764 is about 87621.1034169280. The cubic root of 7677457764 is about 1972.7519377614.

The spelling of 7677457764 in words is "seven billion, six hundred seventy-seven million, four hundred fifty-seven thousand, seven hundred sixty-four".