805677672 has 64 divisors (see below), whose sum is σ = 2212416000. Its totient is φ = 243359424.

The previous prime is 805677667. The next prime is 805677673. The reversal of 805677672 is 276776508.

It is a super-2 number, since 2×805677672² = 1298233022318679168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (805677673) 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 15 ways as a sum of consecutive naturals, for example, 27922 + ... + 48897.

It is an arithmetic number, because the mean of its divisors is an integer number (34569000).

Almost surely, 2^805677672 is an apocalyptic number.

It is an amenable number.

805677672 is an abundant number, since it is smaller than the sum of its proper divisors (1406738328).

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

805677672 is a wasteful number, since it uses less digits than its factorization.

805677672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76870 (or 76866 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 805677672 is about 28384.4618057134. The cubic root of 805677672 is about 930.5087100072.

The spelling of 805677672 in words is "eight hundred five million, six hundred seventy-seven thousand, six hundred seventy-two".