815040000 has 300 divisors, whose sum is σ = 2949771396. Its totient is φ = 216576000.

The previous prime is 815039969. The next prime is 815040001. The reversal of 815040000 is 40518.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815040001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879859 + ... + 2880141.

Almost surely, 2^815040000 is an apocalyptic number.

815040000 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 815040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474885698).

815040000 is an abundant number, since it is smaller than the sum of its proper divisors (2134731396).

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

815040000 is an equidigital number, since it uses as much as digits as its factorization.

815040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 815040000 is about 28548.9054080888. The cubic root of 815040000 is about 934.0991447132.

Adding to 815040000 its reverse (40518), we get a palindrome (815080518).

The spelling of 815040000 in words is "eight hundred fifteen million, forty thousand".