813704000 has 112 divisors (see below), whose sum is σ = 2070354000. Its totient is φ = 316569600.

The previous prime is 813703981. The next prime is 813704009. The reversal of 813704000 is 407318.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 255232576 + 558471424 = 15976^2 + 23632^2 .

It is a super-2 number, since 2×813704000² = 1324228399232000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813704009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294626 + ... + 297374.

Almost surely, 2^813704000 is an apocalyptic number.

813704000 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 813704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035177000).

813704000 is an abundant number, since it is smaller than the sum of its proper divisors (1256650000).

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

813704000 is a wasteful number, since it uses less digits than its factorization.

813704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 813704000 is about 28525.4973663914. The cubic root of 813704000 is about 933.5884789972.

The spelling of 813704000 in words is "eight hundred thirteen million, seven hundred four thousand".