815895080 has 384 divisors, whose sum is σ = 2606204160. Its totient is φ = 225792000.

The previous prime is 815895079. The next prime is 815895089. The reversal of 815895080 is 80598518.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815895089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11491445 + ... + 11491515.

It is an arithmetic number, because the mean of its divisors is an integer number (6786990).

Almost surely, 2^815895080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815895080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303102080).

815895080 is an abundant number, since it is smaller than the sum of its proper divisors (1790309080).

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

815895080 is a wasteful number, since it uses less digits than its factorization.

815895080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 44.

The square root of 815895080 is about 28563.8771878049. The cubic root of 815895080 is about 934.4256932411.

The spelling of 815895080 in words is "eight hundred fifteen million, eight hundred ninety-five thousand, eighty".