827473920 has 480 divisors, whose sum is σ = 3346952448. Its totient is φ = 169869312.

The previous prime is 827473903. The next prime is 827473939. The reversal of 827473920 is 29374728.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22364142 + ... + 22364178.

Almost surely, 2^827473920 is an apocalyptic number.

827473920 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 827473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673476224).

827473920 is an abundant number, since it is smaller than the sum of its proper divisors (2519478528).

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

827473920 is a wasteful number, since it uses less digits than its factorization.

827473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 827473920 is about 28765.8464154977. The cubic root of 827473920 is about 938.8252716382.

The spelling of 827473920 in words is "eight hundred twenty-seven million, four hundred seventy-three thousand, nine hundred twenty".