827292839996880 has 320 divisors, whose sum is σ = 2898087046272000. Its totient is φ = 216855399633408.

The previous prime is 827292839996867. The next prime is 827292839996897. The reversal of 827292839996880 is 88699938292728.

827292839996880 is a `hidden beast` number, since 8 + 2 + 72 + 92 + 8 + 399 + 9 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×827292839996880² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1684383819 + ... + 1684874901.

It is an arithmetic number, because the mean of its divisors is an integer number (9056522019600).

Almost surely, 2^{827292839996880} is an apocalyptic number.

827292839996880 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 827292839996880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449043523136000).

827292839996880 is an abundant number, since it is smaller than the sum of its proper divisors (2070794206275120).

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

827292839996880 is a wasteful number, since it uses less digits than its factorization.

827292839996880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504383 (or 504371 counting only the distinct ones).

The product of its (nonzero) digits is 27088846848, while the sum is 90.

The spelling of 827292839996880 in words is "eight hundred twenty-seven trillion, two hundred ninety-two billion, eight hundred thirty-nine million, nine hundred ninety-six thousand, eight hundred eighty".