815320800 has 324 divisors, whose sum is σ = 3345863976. Its totient is φ = 186278400.

The previous prime is 815320771. The next prime is 815320811. The reversal of 815320800 is 8023518.

It is a happy number.

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 53 ways as a sum of consecutive naturals, for example, 351645 + ... + 353955.

Almost surely, 2^815320800 is an apocalyptic number.

815320800 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 815320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672931988).

815320800 is an abundant number, since it is smaller than the sum of its proper divisors (2530543176).

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

815320800 is a wasteful number, since it uses less digits than its factorization.

815320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 815320800 is about 28553.8228613963. The cubic root of 815320800 is about 934.2064052662.

The spelling of 815320800 in words is "eight hundred fifteen million, three hundred twenty thousand, eight hundred".