815903280 has 400 divisors, whose sum is σ = 3017244384. Its totient is φ = 204042240.

The previous prime is 815903267. The next prime is 815903303. The reversal of 815903280 is 82309518.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9830119 + ... + 9830201.

Almost surely, 2^815903280 is an apocalyptic number.

815903280 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 815903280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508622192).

815903280 is an abundant number, since it is smaller than the sum of its proper divisors (2201341104).

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

815903280 is a wasteful number, since it uses less digits than its factorization.

815903280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 815903280 is about 28564.0207253811. The cubic root of 815903280 is about 934.4288236538.

The spelling of 815903280 in words is "eight hundred fifteen million, nine hundred three thousand, two hundred eighty".