813606976 has 112 divisors (see below), whose sum is σ = 2028342400. Its totient is φ = 321753600.

The previous prime is 813606943. The next prime is 813607009. The reversal of 813606976 is 679606318.

It is an interprime number because it is at equal distance from previous prime (813606943) and next prime (813607009).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×813606976² = 1323912622791729152, which contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 813606976 = 484³ + 888³ = 630³ + 826³.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283951 + ... + 286801.

It is an arithmetic number, because the mean of its divisors is an integer number (18110200).

Almost surely, 2^813606976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014171200).

813606976 is an abundant number, since it is smaller than the sum of its proper divisors (1214735424).

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

813606976 is a wasteful number, since it uses less digits than its factorization.

813606976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 813606976 is about 28523.7966617349. The cubic root of 813606976 is about 933.5513712820.

The spelling of 813606976 in words is "eight hundred thirteen million, six hundred six thousand, nine hundred seventy-six".