527796000 has 336 divisors, whose sum is σ = 1955044728. Its totient is φ = 139968000.

The previous prime is 527795981. The next prime is 527796001. The reversal of 527796000 is 697725.

527796000 is a `hidden beast` number, since 527 + 79 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 499790736 = 5292^2 + 22356^2 .

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

It is not an unprimeable number, because it can be changed into a prime (527796001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2915910 + ... + 2916090.

Almost surely, 2^527796000 is an apocalyptic number.

527796000 is a gapful number since it is divisible by the number (50) 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 527796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977522364).

527796000 is an abundant number, since it is smaller than the sum of its proper divisors (1427248728).

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

527796000 is an equidigital number, since it uses as much as digits as its factorization.

527796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 527796000 is about 22973.8111770773. The cubic root of 527796000 is about 808.1438981697.

The spelling of 527796000 in words is "five hundred twenty-seven million, seven hundred ninety-six thousand".