677110401 has 64 divisors (see below), whose sum is σ = 1137991680. Its totient is φ = 394200000.

The previous prime is 677110337. The next prime is 677110417. The reversal of 677110401 is 104011776.

It is not a de Polignac number, because 677110401 - 2⁶ = 677110337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (677110451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2310811 + ... + 2311103.

It is an arithmetic number, because the mean of its divisors is an integer number (17781120).

Almost surely, 2^677110401 is an apocalyptic number.

It is an amenable number.

677110401 is a deficient number, since it is larger than the sum of its proper divisors (460881279).

677110401 is a wasteful number, since it uses less digits than its factorization.

677110401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 677110401 is about 26021.3451035876. The cubic root of 677110401 is about 878.1185703543.

The spelling of 677110401 in words is "six hundred seventy-seven million, one hundred ten thousand, four hundred one".