815100000 has 576 divisors, whose sum is σ = 3307288320. Its totient is φ = 172800000.

The previous prime is 815099993. The next prime is 815100001. The reversal of 815100000 is 1518.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42899991 + ... + 42900009.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2^815100000 is an apocalyptic number.

815100000 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 815100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653644160).

815100000 is an abundant number, since it is smaller than the sum of its proper divisors (2492188320).

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

815100000 is a wasteful number, since it uses less digits than its factorization.

815100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 815100000 is about 28549.9562171293. The cubic root of 815100000 is about 934.1220657042.

Adding to 815100000 its reverse (1518), we get a palindrome (815101518).

The spelling of 815100000 in words is "eight hundred fifteen million, one hundred thousand".