813240672 has 48 divisors (see below), whose sum is σ = 2136238272. Its totient is φ = 270892160.

The previous prime is 813240667. The next prime is 813240683. The reversal of 813240672 is 276042318.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×813240672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 241303 + ... + 244649.

It is an arithmetic number, because the mean of its divisors is an integer number (44504964).

Almost surely, 2^813240672 is an apocalyptic number.

It is an amenable number.

813240672 is an abundant number, since it is smaller than the sum of its proper divisors (1322997600).

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

813240672 is a wasteful number, since it uses less digits than its factorization.

813240672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 813240672 is about 28517.3749142518. The cubic root of 813240672 is about 933.4112483707.

The spelling of 813240672 in words is "eight hundred thirteen million, two hundred forty thousand, six hundred seventy-two".