815763060 has 144 divisors (see below), whose sum is σ = 2897137152. Its totient is φ = 181900800.

The previous prime is 815763059. The next prime is 815763077. The reversal of 815763060 is 60367518.

815763060 is a `hidden beast` number, since 8 + 15 + 7 + 630 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43765 + ... + 59555.

It is an arithmetic number, because the mean of its divisors is an integer number (20119008).

Almost surely, 2^815763060 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 815763060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448568576).

815763060 is an abundant number, since it is smaller than the sum of its proper divisors (2081374092).

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

815763060 is a wasteful number, since it uses less digits than its factorization.

815763060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15854 (or 15849 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 815763060 is about 28561.5661335299. The cubic root of 815763060 is about 934.3752907088.

It can be divided in two parts, 8157 and 63060, that added together give a palindrome (71217).

The spelling of 815763060 in words is "eight hundred fifteen million, seven hundred sixty-three thousand, sixty".