827725920 has 384 divisors, whose sum is σ = 3238050816. Its totient is φ = 173408256.

The previous prime is 827725907. The next prime is 827725949. The reversal of 827725920 is 29527728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 2455992 + ... + 2456328.

It is an arithmetic number, because the mean of its divisors is an integer number (8432424).

Almost surely, 2^827725920 is an apocalyptic number.

827725920 is a gapful number since it is divisible by the number (80) 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 827725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619025408).

827725920 is an abundant number, since it is smaller than the sum of its proper divisors (2410324896).

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

827725920 is a wasteful number, since it uses less digits than its factorization.

827725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 827725920 is about 28770.2262764824. The cubic root of 827725920 is about 938.9205656611.

The spelling of 827725920 in words is "eight hundred twenty-seven million, seven hundred twenty-five thousand, nine hundred twenty".