827768760 has 480 divisors, whose sum is σ = 3321537840. Its totient is φ = 164376576.

The previous prime is 827768759. The next prime is 827768771. The reversal of 827768760 is 67867728.

It is a super-2 number, since 2×827768760² = 1370402240063875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1183 × 833 × 840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48692272 + ... + 48692288.

Almost surely, 2^827768760 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 827768760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660768920).

827768760 is an abundant number, since it is smaller than the sum of its proper divisors (2493769080).

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

827768760 is a wasteful number, since it uses less digits than its factorization.

827768760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The square root of 827768760 is about 28770.9707865411. The cubic root of 827768760 is about 938.9367637214.

The spelling of 827768760 in words is "eight hundred twenty-seven million, seven hundred sixty-eight thousand, seven hundred sixty".