815825760 has 192 divisors, whose sum is σ = 2682408960. Its totient is φ = 208189440.

The previous prime is 815825723. The next prime is 815825779. The reversal of 815825760 is 67528518.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1621669 + ... + 1622171.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2^815825760 is an apocalyptic number.

815825760 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 815825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341204480).

815825760 is an abundant number, since it is smaller than the sum of its proper divisors (1866583200).

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

815825760 is a wasteful number, since it uses less digits than its factorization.

815825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 815825760 is about 28562.6637413250. The cubic root of 815825760 is about 934.3992289627.

The spelling of 815825760 in words is "eight hundred fifteen million, eight hundred twenty-five thousand, seven hundred sixty".