813066000 has 80 divisors (see below), whose sum is σ = 2621344128. Its totient is φ = 216816000.

The previous prime is 813065983. The next prime is 813066013. The reversal of 813066000 is 660318.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×813066000² = 1322152640712000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 61756 + ... + 73755.

Almost surely, 2^813066000 is an apocalyptic number.

813066000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813066000 is an abundant number, since it is smaller than the sum of its proper divisors (1808278128).

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

813066000 is a wasteful number, since it uses less digits than its factorization.

813066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135537 (or 135521 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 813066000 is about 28514.3121958079. The cubic root of 813066000 is about 933.3444159682.

The spelling of 813066000 in words is "eight hundred thirteen million, sixty-six thousand".