827647480 has 64 divisors (see below), whose sum is σ = 2044608480. Its totient is φ = 299020800.

The previous prime is 827647453. The next prime is 827647489. The reversal of 827647480 is 84746728.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 827647480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827647489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63090 + ... + 75070.

Almost surely, 2^827647480 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 827647480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022304240).

827647480 is an abundant number, since it is smaller than the sum of its proper divisors (1216961000).

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

827647480 is a wasteful number, since it uses less digits than its factorization.

827647480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12160 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The square root of 827647480 is about 28768.8630293239. The cubic root of 827647480 is about 938.8909055792.

The spelling of 827647480 in words is "eight hundred twenty-seven million, six hundred forty-seven thousand, four hundred eighty".