827498880 has 384 divisors, whose sum is σ = 3161077920. Its totient is φ = 198180864.

The previous prime is 827498879. The next prime is 827498891. The reversal of 827498880 is 88894728.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3219712 + ... + 3219968.

Almost surely, 2^827498880 is an apocalyptic number.

827498880 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 827498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580538960).

827498880 is an abundant number, since it is smaller than the sum of its proper divisors (2333579040).

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

827498880 is a wasteful number, since it uses less digits than its factorization.

827498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 827498880 is about 28766.2802600545. The cubic root of 827498880 is about 938.8347111475.

The spelling of 827498880 in words is "eight hundred twenty-seven million, four hundred ninety-eight thousand, eight hundred eighty".