815212800 has 162 divisors, whose sum is σ = 2914775682. Its totient is φ = 217374720.

The previous prime is 815212789. The next prime is 815212813. The reversal of 815212800 is 8212518.

It can be written as a sum of positive squares in 3 ways, for example, as 29419776 + 785793024 = 5424^2 + 28032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50524 + ... + 64676.

Almost surely, 2^815212800 is an apocalyptic number.

815212800 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 815212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457387841).

815212800 is an abundant number, since it is smaller than the sum of its proper divisors (2099562882).

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

815212800 is a wasteful number, since it uses less digits than its factorization.

815212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14185 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 815212800 is about 28551.9316334289. The cubic root of 815212800 is about 934.1651541223.

The spelling of 815212800 in words is "eight hundred fifteen million, two hundred twelve thousand, eight hundred".