4000677777 has 16 divisors (see below), whose sum is σ = 5931530880. Its totient is φ = 2665048176.

The previous prime is 4000677767. The next prime is 4000677781. The reversal of 4000677777 is 7777760004.

4000677777 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 4000677777 - 2⁴ = 4000677761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4000677767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21678 + ... + 92039.

It is an arithmetic number, because the mean of its divisors is an integer number (370720680).

Almost surely, 2^4000677777 is an apocalyptic number.

It is an amenable number.

4000677777 is a deficient number, since it is larger than the sum of its proper divisors (1930853103).

4000677777 is a wasteful number, since it uses less digits than its factorization.

4000677777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115029 (or 115023 counting only the distinct ones).

The product of its (nonzero) digits is 403368, while the sum is 45.

The square root of 4000677777 is about 63250.9112740678. The cubic root of 4000677777 is about 1587.4907055649.

The spelling of 4000677777 in words is "four billion, six hundred seventy-seven thousand, seven hundred seventy-seven".