677406821 has 32 divisors (see below), whose sum is σ = 870777600. Its totient is φ = 523357632.

The previous prime is 677406809. The next prime is 677406839. The reversal of 677406821 is 128604776.

It is not a de Polignac number, because 677406821 - 2⁶ = 677406757 is a prime.

It is a super-2 number, since 2×677406821² = 917760002274652082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677406721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189971 + ... + 193503.

It is an arithmetic number, because the mean of its divisors is an integer number (27211800).

Almost surely, 2^677406821 is an apocalyptic number.

It is an amenable number.

677406821 is a deficient number, since it is larger than the sum of its proper divisors (193370779).

677406821 is a wasteful number, since it uses less digits than its factorization.

677406821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 677406821 is about 26027.0401890034. The cubic root of 677406821 is about 878.2466902457.

The spelling of 677406821 in words is "six hundred seventy-seven million, four hundred six thousand, eight hundred twenty-one".