827369478 has 320 divisors, whose sum is σ = 2341785600. Its totient is φ = 215550720.

The previous prime is 827369453. The next prime is 827369479. The reversal of 827369478 is 874963728.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827369479) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26689323 + ... + 26689353.

It is an arithmetic number, because the mean of its divisors is an integer number (7318080).

Almost surely, 2^827369478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827369478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170892800).

827369478 is an abundant number, since it is smaller than the sum of its proper divisors (1514416122).

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

827369478 is a wasteful number, since it uses less digits than its factorization.

827369478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 827369478 is about 28764.0309762036. The cubic root of 827369478 is about 938.7857711326.

The spelling of 827369478 in words is "eight hundred twenty-seven million, three hundred sixty-nine thousand, four hundred seventy-eight".