813376512 has 352 divisors, whose sum is σ = 2714485760. Its totient is φ = 238878720.

The previous prime is 813376507. The next prime is 813376559. The reversal of 813376512 is 215673318.

813376512 is a `hidden beast` number, since 8 + 133 + 7 + 6 + 512 = 666.

It is a super-2 number, since 2×813376512² = 1323162700546572288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11142108 + ... + 11142180.

Almost surely, 2^813376512 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 813376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357242880).

813376512 is an abundant number, since it is smaller than the sum of its proper divisors (1901109248).

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

813376512 is a wasteful number, since it uses less digits than its factorization.

813376512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 813376512 is about 28519.7565206998. The cubic root of 813376512 is about 933.4632163917.

The spelling of 813376512 in words is "eight hundred thirteen million, three hundred seventy-six thousand, five hundred twelve".