815125792 has 96 divisors (see below), whose sum is σ = 1854316800. Its totient is φ = 349360128.

The previous prime is 815125777. The next prime is 815125793. The reversal of 815125792 is 297521518.

It is not an unprimeable number, because it can be changed into a prime (815125793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557959 + ... + 559417.

It is an arithmetic number, because the mean of its divisors is an integer number (19315800).

Almost surely, 2^815125792 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 815125792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927158400).

815125792 is an abundant number, since it is smaller than the sum of its proper divisors (1039191008).

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

815125792 is a wasteful number, since it uses less digits than its factorization.

815125792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1570 counting only the distinct ones).

The product of its digits is 50400, while the sum is 40.

The square root of 815125792 is about 28550.4079130229. The cubic root of 815125792 is about 934.1319183285.

The spelling of 815125792 in words is "eight hundred fifteen million, one hundred twenty-five thousand, seven hundred ninety-two".