827925120 has 384 divisors, whose sum is σ = 3179217600. Its totient is φ = 196853760.

The previous prime is 827925079. The next prime is 827925127. The reversal of 827925120 is 21529728.

It is a tau number, because it is divible by the number of its divisors (384).

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 (827925127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4625191 + ... + 4625369.

Almost surely, 2^827925120 is an apocalyptic number.

827925120 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 827925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589608800).

827925120 is an abundant number, since it is smaller than the sum of its proper divisors (2351292480).

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

827925120 is a wasteful number, since it uses less digits than its factorization.

827925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 827925120 is about 28773.6879805144. The cubic root of 827925120 is about 938.9958796309.

The spelling of 827925120 in words is "eight hundred twenty-seven million, nine hundred twenty-five thousand, one hundred twenty".