827899380 has 240 divisors, whose sum is σ = 3238494336. Its totient is φ = 172005120.

The previous prime is 827899367. The next prime is 827899409. The reversal of 827899380 is 83998728.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121422 + ... + 128058.

Almost surely, 2^827899380 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 827899380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619247168).

827899380 is an abundant number, since it is smaller than the sum of its proper divisors (2410594956).

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

827899380 is a wasteful number, since it uses less digits than its factorization.

827899380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6665 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 827899380 is about 28773.2406933943. The cubic root of 827899380 is about 938.9861484754.

The spelling of 827899380 in words is "eight hundred twenty-seven million, eight hundred ninety-nine thousand, three hundred eighty".