827007300 has 576 divisors, whose sum is σ = 3333120000. Its totient is φ = 175271040.

The previous prime is 827007299. The next prime is 827007383. The reversal of 827007300 is 3700728.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17595877 + ... + 17595923.

Almost surely, 2^827007300 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 827007300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666560000).

827007300 is an abundant number, since it is smaller than the sum of its proper divisors (2506112700).

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

827007300 is a wasteful number, since it uses less digits than its factorization.

827007300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 827007300 is about 28757.7346117527. The cubic root of 827007300 is about 938.6487677798.

It can be divided in two parts, 82700 and 7300, that added together give a square (90000 = 300²).

The spelling of 827007300 in words is "eight hundred twenty-seven million, seven thousand, three hundred".