813193680 has 160 divisors (see below), whose sum is σ = 2743824384. Its totient is φ = 198033408.

The previous prime is 813193679. The next prime is 813193697. The reversal of 813193680 is 86391318.

It is a super-2 number, since 2×813193680² = 1322567922383884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 301297 + ... + 303983.

Almost surely, 2^813193680 is an apocalyptic number.

813193680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371912192).

813193680 is an abundant number, since it is smaller than the sum of its proper divisors (1930630704).

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

813193680 is a wasteful number, since it uses less digits than its factorization.

813193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 813193680 is about 28516.5509835955. The cubic root of 813193680 is about 933.3932693936.

The spelling of 813193680 in words is "eight hundred thirteen million, one hundred ninety-three thousand, six hundred eighty".